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  • Fast way to manually mod a number

    - by Nikolai Mushegian
    I need to be able to calculate (a^b) % c for very large values of a and b (which individually are pushing limit and which cause overflow errors when you try to calculate a^b). For small enough numbers, using the identity (a^b)%c = (a%c)^b%c works, but if c is too large this doesn't really help. I wrote a loop to do the mod operation manually, one a at a time: private static long no_Overflow_Mod(ulong num_base, ulong num_exponent, ulong mod) { long answer = 1; for (int x = 0; x < num_exponent; x++) { answer = (answer * num_base) % mod; } return answer; } but this takes a very long time. Is there any simple and fast way to do this operation without actually having to take a to the power of b AND without using time-consuming loops? If all else fails, I can make a bool array to represent a huge data type and figure out how to do this with bitwise operators, but there has to be a better way.

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  • How do you calculate div and mod of floating point numbers?

    - by boost
    In Perl, the % operator seems to assume integers. For instance: sub foo { my $n1 = shift; my $n2 = shift; print "perl's mod=" . $n1 % $n2, "\n"; my $res = $n1 / $n2; my $t = int($res); print "my div=$t", "\n"; $res = $res - $t; $res = $res * $n2; print "my mod=" . $res . "\n\n"; } foo( 3044.952963, 7.1 ); foo( 3044.952963, -7.1 ); foo( -3044.952963, 7.1 ); foo( -3044.952963, -7.1 ); gives perl's mod=6 my div=428 my mod=6.15296300000033 perl's mod=-1 my div=-428 my mod=6.15296300000033 perl's mod=1 my div=-428 my mod=-6.15296300000033 perl's mod=-6 my div=428 my mod=-6.15296300000033 Now as you can see, I've come up with a "solution" already for calculating div and mod. However, what I don't understand is what effect the sign of each argument should have on the result. Wouldn't the div always be positive, being the number of times n2 fits into n1? How's the arithmetic supposed to work in this situation?

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  • How to analyze evenness/oddness of numbers in Java

    - by appreciation
    I have to write a program which reads in 3 numbers (using input boxes), and depending on their values it should write one of these messages: All 3 numbers are odd OR All 3 numbers are even OR 2 numbers are odd and 1 is even OR 1 number is odd and 2 are even This is what I have so far: import javax.swing.JOptionPane; class program3 { public static void main(String[] args) { String num1 = JOptionPane.showInputDialog("Enter first number."); String num2 = JOptionPane.showInputDialog("Enter second number."); String num3 = JOptionPane.showInputDialog("Enter third number."); boolean newnum1 = Integer.parseInt(num1); boolean newnum2 = Integer.parseInt(num2); boolean newnum3 = Integer.parseInt(num3); } } This is where I am stuck. I am not sure how to use the MOD to display the messages. I think I have to also use an IF Statement too...But I'm not too sure. Please help! :D

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  • How to account for non-prime numbers 0 and 1 in java?

    - by shady
    I'm not sure if this is the right place to be asking this, but I've been searching for a solution for this on my own for quite some time, so hopefully I've come to the right place. When calculating prime numbers, the starting number that each number has to be divisible by is 2 to be a non-prime number. In my java program, I want to include all the non-prime numbers in the range from 0 to a certain number, so how do I include 0 and 1? Should I just have separate if and else-if statements for 0 and 1 that state that they are not prime numbers? I think that maybe 0 and 1 should be included in the java for loop, but I don't know how to go about doing that. for (int i = 2; i < num; i++){ if (num % i == 0){ System.out.println(i + " is not a prime number. "); } else{ System.out.println(i + " is a prime number. "); } }

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  • Python turtle module confusion

    - by John
    Hi, I'm trying to to add more lines to the triangle, so instead of 3 leading off there will be 5 depending on the parameter given but I really have no idea what to do at this stage and any help would be very welcome. Thanks in advance!:) def draw_sierpinski_triangle(tracer_on, colour, initial_modulus, line_width, initial_heading,initial_x, initial_y, steps): turtle=Turtle() turtle.name = 'Mother of all turtles' turtle.reset () turtle.tracer (tracer_on) turtle.speed ('fastest') turtle.color (colour) turtle.width (line_width) turtle.up() turtle.goto (initial_x, initial_y) turtle.down() turtle.set_heading (initial_heading) draw_sub_pattern (tracer_on, turtle, initial_modulus, 0, steps) def draw_sub_pattern (tracer_on, turtle, modulus, depth, steps): if (depth >= steps): return; x, y = turtle.position () heading = turtle.heading () # draw the pattern turtle.up() turtle.down() turtle.forward (modulus) draw_sub_pattern(tracer_on, turtle, modulus * 0.5, depth + 1, steps) turtle.up() turtle.goto(x, y) turtle.down() turtle.set_heading (heading + 120) turtle.forward (modulus) draw_sub_pattern(tracer_on, turtle, modulus * 0.5, depth + 1, steps) turtle.up() turtle.goto(x, y) turtle.down() turtle.set_heading (heading + 240) turtle.forward (modulus) draw_sub_pattern(tracer_on, turtle, modulus * 0.5, depth + 1, steps)

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  • How do I use the iPhone Calculator's modulus function?

    - by Josh Brown
    I've tried several ways and can't get the iPhone Calculator's modulus function. If I want to compute, say, 5 % 3, what buttons do I press to get it to work? When I try pressing 5, then %, Calculator immediately displays 0.05. Is the mod function broken or am I pressing the buttons in the wrong order? I'm running iPhone OS 3.1.3.

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  • Fast, Vectorizable method of taking floating point number modulus of special primes?

    - by caffiend
    Is there a fast method for taking the modulus of a floating point number? With integers, there are tricks for Mersenne primes, so that its possible to calculate y = x MOD 2^31 without needing division. Can any similar tricks be applied for floating point numbers? Preferably, in a way that can be converted into vector/SIMD operations, or moved into GPGPU code. The primes I'm interested in would be 2^7 and 2^31, although if there are more efficient ones for floating point numbers, those would be welcome.

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  • Upload Certificate and Key to RUEI in order to decrypt SSL traffic

    - by stefan.thieme(at)oracle.com
    So you want to monitor encrypted traffic with your RUEI collector ?Actually this is an easy thing if you follow the lines below...I will start out with creating a pair of snakeoil (so called self-signed) certificate and key with the make-ssl-cert tool which comes pre-packaged with apache only for the purpose of this example.$ sudo make-ssl-cert generate-default-snakeoil$ sudo ls -l /etc/ssl/certs/ssl-cert-snakeoil.pem /etc/ssl/private/ssl-cert-snakeoil.key-rw-r--r-- 1 root root     615 2010-06-07 10:03 /etc/ssl/certs/ssl-cert-snakeoil.pem-rw-r----- 1 root ssl-cert 891 2010-06-07 10:03 /etc/ssl/private/ssl-cert-snakeoil.keyRUEI Configuration of Security SSL Keys You will most likely get these two files from your Certificate Authority (CA) and/or your system administrators should be able to extract this from your WebServer or LoadBalancer handling SSL encryption for your infrastructure.Now let's look at the content of these two files, the certificate (apache assumes this is in PEM format) is called a public key and the private key is used by the apache server to encrypt traffic for a client using the certificate to initiate the SSL connection with the server.In case you already know that these two match, you simply have to paste them in one text file and upload this text file to your RUEI instance.$ sudo cat /etc/ssl/certs/ssl-cert-snakeoil.pem /etc/ssl/private/ssl-cert-snakeoil.key > /tmp/ruei.cert_and_key$ sudo cat /tmp/ruei.cert_and_key -----BEGIN CERTIFICATE----- MIIBmTCCAQICCQD7O3XXwVilWzANBgkqhkiG9w0BAQUFADARMQ8wDQYDVQQDEwZ1 YnVudHUwHhcNMTAwNjA3MDgwMzUzWhcNMjAwNjA0MDgwMzUzWjARMQ8wDQYDVQQD EwZ1YnVudHUwgZ8wDQYJKoZIhvcNAQEBBQADgY0AMIGJAoGBALbs+JnI+p+K7Iqa SQZdnYBxOpdRH0/9jt1QKvmH68v81h9+f1Z2rVR7Zrd/l+ruE3H9VvuzxMlKuMH7 qBX/gmjDZTlj9WJM+zc0tSk+e2udy9he20lGzTxv0vaykJkuKcvSWNk4WE9NuAdg IHZvjKgoTSVmvM1ApMCg69nyOy97AgMBAAEwDQYJKoZIhvcNAQEFBQADgYEAk2rv VEkxR1qPSpJiudDuGUHtWKBKWiWbmSwI3REZT+0vG+YDG5a55NdxgRk3zhQntqF7 gNYjKxblBByBpY7W0ci00kf7kFgvXWMeU96NSQJdnid/YxzQYn0dGL2rSh1dwdPN NPQlNSfnEQ1yxFevR7aRdCqTbTXU3mxi8YaSscE= -----END CERTIFICATE----- -----BEGIN RSA PRIVATE KEY----- MIICXgIBAAKBgQC27PiZyPqfiuyKmkkGXZ2AcTqXUR9P/Y7dUCr5h+vL/NYffn9W dq1Ue2a3f5fq7hNx/Vb7s8TJSrjB+6gV/4Jow2U5Y/ViTPs3NLUpPntrncvYXttJ Rs08b9L2spCZLinL0ljZOFhPTbgHYCB2b4yoKE0lZrzNQKTAoOvZ8jsvewIDAQAB AoGBAJ7LCWeeUwnKNFqBYmD3RTFpmX4furnal3lBDX0945BZtJr0WZ/6N679zIYA aiVTdGfgjvDC9lHy3n3uctRd0Jqdh2QoSSxNBhq5elIApNIIYzu7w/XI/VhGcDlA b6uadURQEC2q+M8YYjw3mwR2omhCWlHIViOHe/9T8jfP/8pxAkEA7k39WRcQildH DFKcj7gurqlkElHysacMTFWf0ZDTEUS6bdkmNXwK6mH63BlmGLrYAP5AMgKgeDf8 D+WRfv8YKQJBAMSCQ7UGDN3ysyfIIrdc1RBEAk4BOrKHKtD5Ux0z5lcQkaCYrK8J DuSldreN2yOhS99/S4CRWmGkTj04wRSnjwMCQQCaR5mW3QzTU4/m1XEQxsBKSdZE 2hMSmsCmhuSyK13Kl0FPLr/C7qyuc4KSjksABa8kbXaoKfUz/6LLs+ePXZ2JAkAv +mIPk5+WnQgS4XFgdYDrzL8HTpOHPSs+BHG/goltnnT/0ebvgXWqa5+1pyPm6h29 PrYveM2pY1Va6z1xDowDAkEAttfzAwAHz+FUhWQCmOBpvBuW/KhYWKZTMpvxFMSY YD5PH6NNyLfBx0J4nGPN5n/f6il0s9pzt3ko++/eUtWSnQ== -----END RSA PRIVATE KEY----- Simply click on the add new key and browse for the cert_and_key file on your desktop which you concatenated earlier using any text editor. You may need to add a passphrase in order to decrypt the RSA key in some cases (it should tell you BEGIN ENCRYPTED PRIVATE KEY in the header line). I will show you the success screen after uploading the certificate to RUEI. You may want to restart your collector once you have uploaded all the certificate/key pairs you want to use in order to make sure they get picked up asap.You should be able to see the number of SSL Connections rising in the Collector statistics screen below. The figures for decrypt errors should slowly go down and the usage figures for your encryption algortihm on the subsequent SSL Encryption screen should go up. You should be 100% sure everything works fine by now, otherwise see below to distinguish the remaining 1% from your 99% certainty.Verify Certificate and Key are matchingYou can compare the modulus of private key and public certificate and they should match in order for the key to fit the lock. You only want to make sure they both fit each other.We are actually interested only in the following details of the two files, which can be determined by using the -subject, -dates and -modulus command line switches instead of the complete -text output of the x509 certificate/rsa key contents.$ sudo openssl x509 -noout -subject -in /etc/ssl/certs/ssl-cert-snakeoil.pemsubject= /CN=ubuntu$ sudo openssl x509 -noout -dates -in /etc/ssl/certs/ssl-cert-snakeoil.pemnotBefore=Jun  7 08:03:53 2010 GMTnotAfter=Jun  4 08:03:53 2020 GMT$ sudo openssl x509 -noout -modulus -in /etc/ssl/certs/ssl-cert-snakeoil.pem Modulus=B6ECF899C8FA9F8AEC8A9A49065D9D80713A97511F4FFD8EDD502AF987EBCBFCD61F7E7F5676AD547B66B77F97EAEE1371FD56FBB3C4C94AB8C1FBA815FF8268C3653963F5624CFB3734B5293E7B6B9DCBD85EDB4946CD3C6FD2F6B290992E29CBD258D938584F4DB8076020766F8CA8284D2566BCCD40A4C0A0EBD9F23B2F7B $ sudo openssl rsa -noout -modulus -in /etc/ssl/private/ssl-cert-snakeoil.keyModulus=B6ECF899C8FA9F8AEC8A9A49065D9D80713A97511F4FFD8EDD502AF987EBCBFCD61F7E7F5676AD547B66B77F97EAEE1371FD56FBB3C4C94AB8C1FBA815FF8268C3653963F5624CFB3734B5293E7B6B9DCBD85EDB4946CD3C6FD2F6B290992E29CBD258D938584F4DB8076020766F8CA8284D2566BCCD40A4C0A0EBD9F23B2F7BAs you can see the modulus matches exactly and we have the proof that the certificate has been created using the private key. OpenSSL Certificate and Key DetailsAs I already told you, you do not need all the greedy details, but in case you want to know it in depth what is actually in those hex-blocks can be made visible with the following commands which show you the actual content in a human readable format.Note: You may not want to post all the details of your private key =^) I told you I have been using a self-signed certificate only for showing you these details.$ sudo openssl rsa -noout -text -in /etc/ssl/private/ssl-cert-snakeoil.keyPrivate-Key: (1024 bit)modulus:    00:b6:ec:f8:99:c8:fa:9f:8a:ec:8a:9a:49:06:5d:    9d:80:71:3a:97:51:1f:4f:fd:8e:dd:50:2a:f9:87:    eb:cb:fc:d6:1f:7e:7f:56:76:ad:54:7b:66:b7:7f:    97:ea:ee:13:71:fd:56:fb:b3:c4:c9:4a:b8:c1:fb:    a8:15:ff:82:68:c3:65:39:63:f5:62:4c:fb:37:34:    b5:29:3e:7b:6b:9d:cb:d8:5e:db:49:46:cd:3c:6f:    d2:f6:b2:90:99:2e:29:cb:d2:58:d9:38:58:4f:4d:    b8:07:60:20:76:6f:8c:a8:28:4d:25:66:bc:cd:40:    a4:c0:a0:eb:d9:f2:3b:2f:7bpublicExponent: 65537 (0x10001)privateExponent:    00:9e:cb:09:67:9e:53:09:ca:34:5a:81:62:60:f7:    45:31:69:99:7e:1f:ba:b9:da:97:79:41:0d:7d:3d:    e3:90:59:b4:9a:f4:59:9f:fa:37:ae:fd:cc:86:00:    6a:25:53:74:67:e0:8e:f0:c2:f6:51:f2:de:7d:ee:    72:d4:5d:d0:9a:9d:87:64:28:49:2c:4d:06:1a:b9:    7a:52:00:a4:d2:08:63:3b:bb:c3:f5:c8:fd:58:46:    70:39:40:6f:ab:9a:75:44:50:10:2d:aa:f8:cf:18:    62:3c:37:9b:04:76:a2:68:42:5a:51:c8:56:23:87:    7b:ff:53:f2:37:cf:ff:ca:71prime1:    00:ee:4d:fd:59:17:10:8a:57:47:0c:52:9c:8f:b8:    2e:ae:a9:64:12:51:f2:b1:a7:0c:4c:55:9f:d1:90:    d3:11:44:ba:6d:d9:26:35:7c:0a:ea:61:fa:dc:19:    66:18:ba:d8:00:fe:40:32:02:a0:78:37:fc:0f:e5:    91:7e:ff:18:29prime2:    00:c4:82:43:b5:06:0c:dd:f2:b3:27:c8:22:b7:5c:    d5:10:44:02:4e:01:3a:b2:87:2a:d0:f9:53:1d:33:    e6:57:10:91:a0:98:ac:af:09:0e:e4:a5:76:b7:8d:    db:23:a1:4b:df:7f:4b:80:91:5a:61:a4:4e:3d:38:    c1:14:a7:8f:03exponent1:    00:9a:47:99:96:dd:0c:d3:53:8f:e6:d5:71:10:c6:    c0:4a:49:d6:44:da:13:12:9a:c0:a6:86:e4:b2:2b:    5d:ca:97:41:4f:2e:bf:c2:ee:ac:ae:73:82:92:8e:    4b:00:05:af:24:6d:76:a8:29:f5:33:ff:a2:cb:b3:    e7:8f:5d:9d:89exponent2:    2f:fa:62:0f:93:9f:96:9d:08:12:e1:71:60:75:80:    eb:cc:bf:07:4e:93:87:3d:2b:3e:04:71:bf:82:89:    6d:9e:74:ff:d1:e6:ef:81:75:aa:6b:9f:b5:a7:23:    e6:ea:1d:bd:3e:b6:2f:78:cd:a9:63:55:5a:eb:3d:    71:0e:8c:03coefficient:    00:b6:d7:f3:03:00:07:cf:e1:54:85:64:02:98:e0:    69:bc:1b:96:fc:a8:58:58:a6:53:32:9b:f1:14:c4:    98:60:3e:4f:1f:a3:4d:c8:b7:c1:c7:42:78:9c:63:    cd:e6:7f:df:ea:29:74:b3:da:73:b7:79:28:fb:ef:    de:52:d5:92:9d$ sudo openssl x509 -noout -text -in /etc/ssl/certs/ssl-cert-snakeoil.pemCertificate:    Data:        Version: 1 (0x0)        Serial Number:            fb:3b:75:d7:c1:58:a5:5b        Signature Algorithm: sha1WithRSAEncryption        Issuer: CN=ubuntu        Validity            Not Before: Jun  7 08:03:53 2010 GMT            Not After : Jun  4 08:03:53 2020 GMT        Subject: CN=ubuntu        Subject Public Key Info:            Public Key Algorithm: rsaEncryption            RSA Public Key: (1024 bit)                Modulus (1024 bit):                    00:b6:ec:f8:99:c8:fa:9f:8a:ec:8a:9a:49:06:5d:                    9d:80:71:3a:97:51:1f:4f:fd:8e:dd:50:2a:f9:87:                    eb:cb:fc:d6:1f:7e:7f:56:76:ad:54:7b:66:b7:7f:                    97:ea:ee:13:71:fd:56:fb:b3:c4:c9:4a:b8:c1:fb:                    a8:15:ff:82:68:c3:65:39:63:f5:62:4c:fb:37:34:                    b5:29:3e:7b:6b:9d:cb:d8:5e:db:49:46:cd:3c:6f:                    d2:f6:b2:90:99:2e:29:cb:d2:58:d9:38:58:4f:4d:                    b8:07:60:20:76:6f:8c:a8:28:4d:25:66:bc:cd:40:                    a4:c0:a0:eb:d9:f2:3b:2f:7b                Exponent: 65537 (0x10001)    Signature Algorithm: sha1WithRSAEncryption        93:6a:ef:54:49:31:47:5a:8f:4a:92:62:b9:d0:ee:19:41:ed:        58:a0:4a:5a:25:9b:99:2c:08:dd:11:19:4f:ed:2f:1b:e6:03:        1b:96:b9:e4:d7:71:81:19:37:ce:14:27:b6:a1:7b:80:d6:23:        2b:16:e5:04:1c:81:a5:8e:d6:d1:c8:b4:d2:47:fb:90:58:2f:        5d:63:1e:53:de:8d:49:02:5d:9e:27:7f:63:1c:d0:62:7d:1d:        18:bd:ab:4a:1d:5d:c1:d3:cd:34:f4:25:35:27:e7:11:0d:72:        c4:57:af:47:b6:91:74:2a:93:6d:35:d4:de:6c:62:f1:86:92:        b1:c1The above output can also be seen if you direct your browser client to your website and check the certificate sent by the server to your browser. You will be able to lookup all the details including the validity dates, subject common name and the public key modulus.Capture an SSL connection using WiresharkAnd as you would have expected, looking at the low-level tcp data that has been exchanged between the client and server with a tcp-diagnostics tool (i.e. wireshark/tcpdump) you can also see the modulus in there.These were the settings I used to capture all traffic on the local loopback interface, matching the filter expression: tcp and ip and host 127.0.0.1 and port 443. This tells Wireshark to leave out any other information, I may not have been interested in showing you.

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  • Java RSA Encrypt using .NET XML Key File - need help

    - by badMonkey
    In .net I have generated the following public key file: <RSAKeyValue> <Modulus>xTSiS4+I/x9awUXcF66Ffw7tracsQfGCn6g6k/hGkLquHYMFTCYk4mOB5NwLwqczwvl8HkQfDShGcvrm47XHKUzA8iadWdA5n4toBECzRxiCWCHm1KEg59LUD3fxTG5ogGiNxDj9wSguCIzFdUxBYq5ot2J4iLgGu0qShml5vwk=</Modulus> <Exponent>AQAB</Exponent> .NET is happy to encrypt using it's normal methods. I am trying to use this key to encode a string in Java and am running into an Arithmetic problem (exception) when I attempt to encrypt the string. The following is the code I am using to encrypt: byte[] modulusBytes = Base64.decode(this.getString(R.string.public_key_modulus)); byte[] exponentBytes = Base64.decode(this.getString(R.string.public_key_exponent)); BigInteger modulus = new BigInteger( modulusBytes ); BigInteger exponent = new BigInteger( exponentBytes); RSAPublicKeySpec rsaPubKey = new RSAPublicKeySpec(modulus, exponent); KeyFactory fact = KeyFactory.getInstance("RSA"); PublicKey pubKey = fact.generatePublic(rsaPubKey); Cipher cipher = Cipher.getInstance("RSA"); cipher.init(Cipher.ENCRYPT_MODE, pubKey); byte[] cipherData = cipher.doFinal( new String("big kitty dancing").getBytes() ); It is the final line in the code block that fails. I have looked at numerous examples and this is the best I could come up with. If it is not obvious, the R.string.public_key_modulus is a copy/paste of the text in the Modulus element, same applies for exponent.

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  • Converting a byte array to a X.509 certificate

    - by ddd
    I'm trying to port a piece of Java code into .NET that takes a Base64 encoded string, converts it to a byte array, and then uses it to make a X.509 certificate to get the modulus & exponent for RSA encryption. This is the Java code I'm trying to convert: byte[] externalPublicKey = Base64.decode("base 64 encoded string"); KeyFactory keyFactory = KeyFactory.getInstance("RSA"); EncodedKeySpec publicKeySpec = new X509EncodedKeySpec(externalPublicKey); Key publicKey = keyFactory.generatePublic(publicKeySpec); RSAPublicKey pbrtk = (java.security.interfaces.RSAPublicKey) publicKey; BigInteger modulus = pbrtk.getModulus(); BigInteger pubExp = pbrtk.getPublicExponent(); I've been trying to figure out the best way to convert this into .NET. So far, I've come up with this: byte[] bytes = Convert.FromBase64String("base 64 encoded string"); X509Certificate2 x509 = new X509Certificate2(bytes); RSA rsa = (RSA)x509.PrivateKey; RSAParameters rsaParams = rsa.ExportParameters(false); byte[] modulus = rsaParams.Modulus; byte[] exponent = rsaParams.Exponent; Which to me looks like it should work, but it throws an exception when I use the base 64 encoded string from the Java code to generate the X509 certificate. Is Java's X.509 implementation just incompatible with .NET's, or am I doing something wrong in my conversion from Java to .NET? Or is there simply no conversion from Java to .NET in this case?

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  • Why RSA encryption can return different results with C# and Java?

    - by ActioN
    I using: c#: RSACryptoServiceProvider JAVA: KeyFactory.getInstance("RSA")+Cipher I sending public key (exponent + modulus) as byte array from java to c#. It's ok, there is the same bytes. But when i try to encrypt some data with one key in Java and c# - there is different results. Java Key Generation: KeyPairGenerator keyGen = KeyPairGenerator.getInstance("RSA"); keyGen.initialize( Config.CRYPTO_KEY_NUM_BITS ); m_KeyPair = keyGen.genKeyPair(); m_PublicKey = KeyFactory.getInstance("RSA").generatePublic( newX509EncodedKeySpec(m_KeyPair.getPublic().getEncoded())); byte[] exponent = m_PublicKey.getPublicExponent().toByteArray(); byte[] modulus = m_PublicKey.getModulus().toByteArray(); // then sending... C# Key Recieve: // Recieved... m_ExternKey = new RSAParameters(); m_ExternKey.Exponent = exponent; m_ExternKey.Modulus = modulus; m_RsaExtern = new RSACryptoServiceProvider(); m_RsaExtern.ImportParameters(m_ExternKey); byte[] test = m_RsaExtern.Encrypt(bytesToEncrypt, true); and problem is that encrypted bytes is different. Thank you.

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  • problem generating pgp keys?

    - by pavankumar
    I'm using RSACryptoServiceProvider I've generated public key and private key. The keys generated by it are in the following format: Public key: <RSAKeyValue> <Modulus>m9bAoh2...eGNKYs=</Modulus> <Exponent>AQAB</Exponent> </RSAKeyValue> Private key: <RSAKeyValue> <Modulus>m9bAo...ZAIeGNKYs=</Modulus> <Exponent>AQAB</Exponent> <P>xGj/UcXs...R1lmeVQ==</P> <Q>yx6e18aP...GXzXIXw==</Q> <DP>NyxvnJ...1xAsEyQ==</DP> <DQ>La17Jycd...FhApEqwznQ==</DQ> <InverseQ>JrG7WCT...Hp3OWA==</InverseQ> <D>RdWsOFn....KL699Vh6HK0=</D> </RSAKeyValue> but using PGP Desktop i've generated keys like this - Public key: mQCNBEoOlp8BBACi/3EvBZ83ZduvG6YHu5F0P7Z3xOnpIsaPvTk0q+dnjwDUa5sU lEFbUZgDXSz7ZRhyiNqUOy+IG3ghPxpiKGBtldVpi33qaFCCEBiqsxRRpVCLgTUK HP2kH5ysrlFWkxTo =a4t9 Private key: lQHgBEoOlp8BBACi/3EvBZ83ZduvG6YHu5F0P7Z3xOnpIsaPvTk0q+dnjwDUa5sU lEFbUZgDXSz7ZRhyiNqUOy+IG3ghPxpiKGBtldVpi33qaFCCEBiqsxRRpVCLgTUK waBnEitQti3XgUUEZnz/rnXcQVM0QFBe6H5x8fMDUw== =CVPD So when I'm passing the keys generated by PGP Desktop it is able to do encryption and decryption perfectly but when im passing the keys generated by RSACryptoServiceProvider I'm not able to encrypt and decrypt? Can anyone please tell me how to generate keys in the pattern generated by PGP?

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  • F# Interactive bug?

    - by John Reynolds
    I've tried the following code in VS2010: open System.Security.Cryptography let rsaTest1 = let ecKey = [|0uy..143uy|] // junk data for testing let ecKeyMod = ecKey.[8..8+128-1] let ecKeyExp = ecKey.[136..136+8-1] let rsa = RSAParameters(Modulus = ecKeyMod, Exponent = ecKeyExp) rsa let rsaTest2 = let ecKey = [|0uy..143uy|] // junk data for testing let rsa = RSAParameters(Modulus = ecKey.[8..8+128-1], Exponent = ecKey.[136..136+8-1]) rsa If I highlight all code and send it to F# Interactive (Alt+Enter), then rsaTest1 works, but rsaTest2 gives an error message, System.NullReferenceException: Object reference not set to an instance of an object. at <StartupCode$FSI_0004>.$FSI_0004.main@() in P:\proj\Tachograph\Project\CompuTachTest\CompuTachTest\rsaTest.fsx:line 16 However, if I change rsaTest2 from a value into a function and call it, let rsaTest2 () = let ecKey = [|0uy..143uy|] // junk data for testing let rsa = RSAParameters(Modulus = ecKey.[8..8+128-1], Exponent = ecKey.[136..136+8-1]) rsa let x = rsaTest2 () then there is no error. F# bug or my mistake?

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  • how do i convert RSAParameters from .net to .pem file so i can use it in php

    - by netuser24
    Hello i have a private and public keys for RSA generated in .net in this format string privateKey = "<RSAKeyValue>" + "<Modulus>...kCFhsjB4xMW49mrx5B/Ga...</Modulus>" + "<Exponent>...</Exponent>" + "<P>...7bRCrQVgVIfXdTIH3iY8x...</P>" + "<Q>...4SiQDhrAZADuFDTr7bRCrQVgVIfXdTIH3iY8x...</Q>" + "<DP>...ZADuFDTr7bRCrQVgVIfXdT...</DP>" + "<DQ>...4SiQDhrAZADuFDTr...</DQ>" + "<InverseQ>...sjB4xMW49mrx5B/Ga...</InverseQ>" + "<D>...SiQDhrAZADuFDTr7bRCrQVgVIf...</D>" + "</RSAKeyValue>"; how can i convert this so i can use it in php openssl functions to encrypt and decrypt data? i need both public and private keys converted. maybe with openssl bash command in linux where can i specify my own modulus, exponent and so on? any ideas? thanks

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  • Learn programming backwards, or "so I failed the FizzBuzz test. Now what?"

    - by moraleida
    A Little Background I'm 28 today, and I've never had any formal training in software development, but I do have two higher education degrees equivalent to a B.A in Public Relations and an Executive MBA focused on Project Management. I've worked on those fields for about 6 years total an then, 2,5 years ago I quit/lost my job and decided to shift directions. After a month thinking things through I decided to start freelancing developing small websites in WordPress. I self-learned my way into it and today I can say I run a humble but successful career developing themes and plugins from scratch for my clients - mostly agencies outsourcing some of their dev work for medium/large websites. But sometimes I just feel that not having studied enough math, or not having a formal understanding of things really holds me behind when I have to compete or work with more experienced developers. I'm constantly looking for ways to learn more but I seem to lack the basics. Unfortunately, spending 4 more years in Computer Science is not an option right now, so I'm trying to learn all I can from books and online resources. This method is never going to have NASA employ me but I really don't care right now. My goal is to first pass the bar and to be able to call myself a real programmer. I'm currently spending my spare time studying Java For Programmers (to get a hold on a language everyone says is difficult/demanding), reading excerpts of Code Complete (to get hold of best practices) and also Code: The Hidden Language of Computer Hardware and Software (to grasp the inner workings of computers). TL;DR So, my current situation is this: I'm basically capable of writing any complete system in PHP (with the help of Google and a few books), integrating Ajax, SQL and whatnot, and maybe a little slower than an experienced dev would expect due to all the research involved. But I was stranded yesterday trying to figure out (not Google) a solution for the FizzBuzz test because I didn't have the if($n1 % $n2 == 0) method modulus operator memorized. What would you suggest as a good way to solve this dilemma? What subjects/books should I study that would get me solving problems faster and maybe more "in a programmers way"? EDIT - Seems that there was some confusion about what did I not know to solve FizzBuzz. Maybe I didn't express myself right: I knew the steps needed to solve the problem. What I didn't memorize was the modulus operator. The problem was in transposing basic math to the program, not in knowing basic math. I took the test for fun, after reading about it on Coding Horror. I just decided it was a good base-comparison line between me and formally-trained devs. I just used this as an example of how not having dealt with math in a computer environment before makes me lose time looking up basic things like modulus operators to be able to solve simple problems.

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  • Mathematical attack on the Digital Signature Algorithm

    - by drelihan
    Does anybody know the mathematics behind an attack on DSA where modulus p has p-1 made up of only small factors. In reality, this would not happen as the key generator would guarantee that this is not so. There is much information on the web on generating good input paramters for DSA so that it is hard to crack but no information on how you find X if modulus p has p-1 made up of only small factors.

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  • Elfsign Object Signing on Solaris

    - by danx
    Elfsign Object Signing on Solaris Don't let this happen to you—use elfsign! Solaris elfsign(1) is a command that signs and verifies ELF format executables. That includes not just executable programs (such as ls or cp), but other ELF format files including libraries (such as libnvpair.so) and kernel modules (such as autofs). Elfsign has been available since Solaris 10 and ELF format files distributed with Solaris, since Solaris 10, are signed by either Sun Microsystems or its successor, Oracle Corporation. When an ELF file is signed, elfsign adds a new section the ELF file, .SUNW_signature, that contains a RSA public key signature and other information about the signer. That is, the algorithm used, algorithm OID, signer CN/OU, and time stamp. The signature section can later be verified by elfsign or other software by matching the signature in the file agains the ELF file contents (excluding the signature). ELF executable files may also be signed by a 3rd-party or by the customer. This is useful for verifying the origin and authenticity of executable files installed on a system. The 3rd-party or customer public key certificate should be installed in /etc/certs/ to allow verification by elfsign. For currently-released versions of Solaris, only cryptographic framework plugin libraries are verified by Solaris. However, all ELF files may be verified by the elfsign command at any time. Elfsign Algorithms Elfsign signatures are created by taking a digest of the ELF section contents, then signing the digest with RSA. To verify, one takes a digest of ELF file and compares with the expected digest that's computed from the signature and RSA public key. Originally elfsign took a MD5 digest of a SHA-1 digest of the ELF file sections, then signed the resulting digest with RSA. In Solaris 11.1 then Solaris 11.1 SRU 7 (5/2013), the elfsign crypto algorithms available have been expanded to keep up with evolving cryptography. The following table shows the available elfsign algorithms: Elfsign Algorithm Solaris Release Comments elfsign sign -F rsa_md5_sha1   S10, S11.0, S11.1 Default for S10. Not recommended* elfsign sign -F rsa_sha1 S11.1 Default for S11.1. Not recommended elfsign sign -F rsa_sha256 S11.1 patch SRU7+   Recommended ___ *Most or all CAs do not accept MD5 CSRs and do not issue MD5 certs due to MD5 hash collision problems. RSA Key Length. I recommend using RSA-2048 key length with elfsign is RSA-2048 as the best balance between a long expected "life time", interoperability, and performance. RSA-2048 keys have an expected lifetime through 2030 (and probably beyond). For details, see Recommendation for Key Management: Part 1: General, NIST Publication SP 800-57 part 1 (rev. 3, 7/2012, PDF), tables 2 and 4 (pp. 64, 67). Step 1: create or obtain a key and cert The first step in using elfsign is to obtain a key and cert from a public Certificate Authority (CA), or create your own self-signed key and cert. I'll briefly explain both methods. Obtaining a Certificate from a CA To obtain a cert from a CA, such as Verisign, Thawte, or Go Daddy (to name a few random examples), you create a private key and a Certificate Signing Request (CSR) file and send it to the CA, following the instructions of the CA on their website. They send back a signed public key certificate. The public key cert, along with the private key you created is used by elfsign to sign an ELF file. The public key cert is distributed with the software and is used by elfsign to verify elfsign signatures in ELF files. You need to request a RSA "Class 3 public key certificate", which is used for servers and software signing. Elfsign uses RSA and we recommend RSA-2048 keys. The private key and CSR can be generated with openssl(1) or pktool(1) on Solaris. Here's a simple example that uses pktool to generate a private RSA_2048 key and a CSR for sending to a CA: $ pktool gencsr keystore=file format=pem outcsr=MYCSR.p10 \ subject="CN=canineswworks.com,OU=Canine SW object signing" \ outkey=MYPRIVATEKEY.key $ openssl rsa -noout -text -in MYPRIVATEKEY.key Private-Key: (2048 bit) modulus: 00:d2:ef:42:f2:0b:8c:96:9f:45:32:fc:fe:54:94: . . . [omitted for brevity] . . . c9:c7 publicExponent: 65537 (0x10001) privateExponent: 26:14:fc:49:26:bc:a3:14:ee:31:5e:6b:ac:69:83: . . . [omitted for brevity] . . . 81 prime1: 00:f6:b7:52:73:bc:26:57:26:c8:11:eb:6c:dc:cb: . . . [omitted for brevity] . . . bc:91:d0:40:d6:9d:ac:b5:69 prime2: 00:da:df:3f:56:b2:18:46:e1:89:5b:6c:f1:1a:41: . . . [omitted for brevity] . . . f3:b7:48:de:c3:d9:ce:af:af exponent1: 00:b9:a2:00:11:02:ed:9a:3f:9c:e4:16:ce:c7:67: . . . [omitted for brevity] . . . 55:50:25:70:d3:ca:b9:ab:99 exponent2: 00:c8:fc:f5:57:11:98:85:8e:9a:ea:1f:f2:8f:df: . . . [omitted for brevity] . . . 23:57:0e:4d:b2:a0:12:d2:f5 coefficient: 2f:60:21:cd:dc:52:76:67:1a:d8:75:3e:7f:b0:64: . . . [omitted for brevity] . . . 06:94:56:d8:9d:5c:8e:9b $ openssl req -noout -text -in MYCSR.p10 Certificate Request: Data: Version: 2 (0x2) Subject: OU=Canine SW object signing, CN=canineswworks.com Subject Public Key Info: Public Key Algorithm: rsaEncryption Public-Key: (2048 bit) Modulus: 00:d2:ef:42:f2:0b:8c:96:9f:45:32:fc:fe:54:94: . . . [omitted for brevity] . . . c9:c7 Exponent: 65537 (0x10001) Attributes: Signature Algorithm: sha1WithRSAEncryption b3:e8:30:5b:88:37:68:1c:26:6b:45:af:5e:de:ea:60:87:ea: . . . [omitted for brevity] . . . 06:f9:ed:b4 Secure storage of RSA private key. The private key needs to be protected if the key signing is used for production (as opposed to just testing). That is, protect the key to protect against unauthorized signatures by others. One method is to use a PIN-protected PKCS#11 keystore. The private key you generate should be stored in a secure manner, such as in a PKCS#11 keystore using pktool(1). Otherwise others can sign your signature. Other secure key storage mechanisms include a SCA-6000 crypto card, a USB thumb drive stored in a locked area, a dedicated server with restricted access, Oracle Key Manager (OKM), or some combination of these. I also recommend secure backup of the private key. Here's an example of generating a private key protected in the PKCS#11 keystore, and a CSR. $ pktool setpin # use if PIN not set yet Enter token passphrase: changeme Create new passphrase: Re-enter new passphrase: Passphrase changed. $ pktool gencsr keystore=pkcs11 label=MYPRIVATEKEY \ format=pem outcsr=MYCSR.p10 \ subject="CN=canineswworks.com,OU=Canine SW object signing" $ pktool list keystore=pkcs11 Enter PIN for Sun Software PKCS#11 softtoken: Found 1 asymmetric public keys. Key #1 - RSA public key: MYPRIVATEKEY Here's another example that uses openssl instead of pktool to generate a private key and CSR: $ openssl genrsa -out cert.key 2048 $ openssl req -new -key cert.key -out MYCSR.p10 Self-Signed Cert You can use openssl or pktool to create a private key and a self-signed public key certificate. A self-signed cert is useful for development, testing, and internal use. The private key created should be stored in a secure manner, as mentioned above. The following example creates a private key, MYSELFSIGNED.key, and a public key cert, MYSELFSIGNED.pem, using pktool and displays the contents with the openssl command. $ pktool gencert keystore=file format=pem serial=0xD06F00D lifetime=20-year \ keytype=rsa hash=sha256 outcert=MYSELFSIGNED.pem outkey=MYSELFSIGNED.key \ subject="O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com" $ pktool list keystore=file objtype=cert infile=MYSELFSIGNED.pem Found 1 certificates. 1. (X.509 certificate) Filename: MYSELFSIGNED.pem ID: c8:24:59:08:2b:ae:6e:5c:bc:26:bd:ef:0a:9c:54:de:dd:0f:60:46 Subject: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com Issuer: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com Not Before: Oct 17 23:18:00 2013 GMT Not After: Oct 12 23:18:00 2033 GMT Serial: 0xD06F00D0 Signature Algorithm: sha256WithRSAEncryption $ openssl x509 -noout -text -in MYSELFSIGNED.pem Certificate: Data: Version: 3 (0x2) Serial Number: 3496935632 (0xd06f00d0) Signature Algorithm: sha256WithRSAEncryption Issuer: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com Validity Not Before: Oct 17 23:18:00 2013 GMT Not After : Oct 12 23:18:00 2033 GMT Subject: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com Subject Public Key Info: Public Key Algorithm: rsaEncryption Public-Key: (2048 bit) Modulus: 00:bb:e8:11:21:d9:4b:88:53:8b:6c:5a:7a:38:8b: . . . [omitted for brevity] . . . bf:77 Exponent: 65537 (0x10001) Signature Algorithm: sha256WithRSAEncryption 9e:39:fe:c8:44:5c:87:2c:8f:f4:24:f6:0c:9a:2f:64:84:d1: . . . [omitted for brevity] . . . 5f:78:8e:e8 $ openssl rsa -noout -text -in MYSELFSIGNED.key Private-Key: (2048 bit) modulus: 00:bb:e8:11:21:d9:4b:88:53:8b:6c:5a:7a:38:8b: . . . [omitted for brevity] . . . bf:77 publicExponent: 65537 (0x10001) privateExponent: 0a:06:0f:23:e7:1b:88:62:2c:85:d3:2d:c1:e6:6e: . . . [omitted for brevity] . . . 9c:e1:e0:0a:52:77:29:4a:75:aa:02:d8:af:53:24: c1 prime1: 00:ea:12:02:bb:5a:0f:5a:d8:a9:95:b2:ba:30:15: . . . [omitted for brevity] . . . 5b:ca:9c:7c:19:48:77:1e:5d prime2: 00:cd:82:da:84:71:1d:18:52:cb:c6:4d:74:14:be: . . . [omitted for brevity] . . . 5f:db:d5:5e:47:89:a7:ef:e3 exponent1: 32:37:62:f6:a6:bf:9c:91:d6:f0:12:c3:f7:04:e9: . . . [omitted for brevity] . . . 97:3e:33:31:89:66:64:d1 exponent2: 00:88:a2:e8:90:47:f8:75:34:8f:41:50:3b:ce:93: . . . [omitted for brevity] . . . ff:74:d4:be:f3:47:45:bd:cb coefficient: 4d:7c:09:4c:34:73:c4:26:f0:58:f5:e1:45:3c:af: . . . [omitted for brevity] . . . af:01:5f:af:ad:6a:09:bf Step 2: Sign the ELF File object By now you should have your private key, and obtained, by hook or crook, a cert (either from a CA or use one you created (a self-signed cert). The next step is to sign one or more objects with your private key and cert. Here's a simple example that creates an object file, signs, verifies, and lists the contents of the ELF signature. $ echo '#include <stdio.h>\nint main(){printf("Hello\\n");}'>hello.c $ make hello cc -o hello hello.c $ elfsign verify -v -c MYSELFSIGNED.pem -e hello elfsign: no signature found in hello. $ elfsign sign -F rsa_sha256 -v -k MYSELFSIGNED.key -c MYSELFSIGNED.pem -e hello elfsign: hello signed successfully. format: rsa_sha256. signer: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com. signed on: October 17, 2013 04:22:49 PM PDT. $ elfsign list -f format -e hello rsa_sha256 $ elfsign list -f signer -e hello O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com $ elfsign list -f time -e hello October 17, 2013 04:22:49 PM PDT $ elfsign verify -v -c MYSELFSIGNED.key -e hello elfsign: verification of hello failed. format: rsa_sha256. signer: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com. signed on: October 17, 2013 04:22:49 PM PDT. Signing using the pkcs11 keystore To sign the ELF file using a private key in the secure pkcs11 keystore, replace "-K MYSELFSIGNED.key" in the "elfsign sign" command line with "-T MYPRIVATEKEY", where MYPRIVATKEY is the pkcs11 token label. Step 3: Install the cert and test on another system Just signing the object isn't enough. You need to copy or install the cert and the signed ELF file(s) on another system to test that the signature is OK. Your public key cert should be installed in /etc/certs. Use elfsign verify to verify the signature. Elfsign verify checks each cert in /etc/certs until it finds one that matches the elfsign signature in the file. If one isn't found, the verification fails. Here's an example: $ su Password: # rm /etc/certs/MYSELFSIGNED.key # cp MYSELFSIGNED.pem /etc/certs # exit $ elfsign verify -v hello elfsign: verification of hello passed. format: rsa_sha256. signer: O=Canine Software Works, OU=Self-signed CA, CN=canineswworks.com. signed on: October 17, 2013 04:24:20 PM PDT. After testing, package your cert along with your ELF object to allow elfsign verification after your cert and object are installed or copied. Under the Hood: elfsign verification Here's the steps taken to verify a ELF file signed with elfsign. The steps to sign the file are similar except the private key exponent is used instead of the public key exponent and the .SUNW_signature section is written to the ELF file instead of being read from the file. Generate a digest (SHA-256) of the ELF file sections. This digest uses all ELF sections loaded in memory, but excludes the ELF header, the .SUNW_signature section, and the symbol table Extract the RSA signature (RSA-2048) from the .SUNW_signature section Extract the RSA public key modulus and public key exponent (65537) from the public key cert Calculate the expected digest as follows:     signaturepublicKeyExponent % publicKeyModulus Strip the PKCS#1 padding (most significant bytes) from the above. The padding is 0x00, 0x01, 0xff, 0xff, . . ., 0xff, 0x00. If the actual digest == expected digest, the ELF file is verified (OK). Further Information elfsign(1), pktool(1), and openssl(1) man pages. "Signed Solaris 10 Binaries?" blog by Darren Moffat (2005) shows how to use elfsign. "Simple CLI based CA on Solaris" blog by Darren Moffat (2008) shows how to set up a simple CA for use with self-signed certificates. "How to Create a Certificate by Using the pktool gencert Command" System Administration Guide: Security Services (available at docs.oracle.com)

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  • How to encrypt a RSAKey using another RSAKey?

    - by Tom Brito
    I know its not the usual thing to do. But the specification I'm implementing is discribed this way, and I cannot run out. I was trying to encrypt the modulus and exponent of the private key, but the following test code raises an exception because the byte array is 1 byte larger then the maximum allowed by RSA block: import java.security.KeyPair; import java.security.KeyPairGenerator; import java.security.NoSuchAlgorithmException; import java.security.NoSuchProviderException; import java.security.interfaces.RSAPrivateKey; import java.security.interfaces.RSAPublicKey; import javax.crypto.Cipher; import org.apache.commons.lang.ArrayUtils; public class TEST { public static KeyPair generateKeyPair() throws NoSuchAlgorithmException, NoSuchProviderException { KeyPairGenerator keyPairGenerator = KeyPairGenerator.getInstance("RSA", "BC"); keyPairGenerator.initialize(1024); return keyPairGenerator.generateKeyPair(); } public static void main(String[] args) throws Exception { KeyPair keyPair = generateKeyPair(); RSAPrivateKey privateKey = (RSAPrivateKey) keyPair.getPrivate(); System.out.println("Priv modulus len = " + privateKey.getModulus().bitLength()); System.out.println("Priv exponent len = " + privateKey.getPrivateExponent().bitLength()); System.out.println("Priv modulus toByteArray len = " + privateKey.getModulus().toByteArray().length); byte[] byteArray = privateKey.getModulus().toByteArray(); // the byte at index 0 have no value (in every generation it is always zero) byteArray = ArrayUtils.subarray(byteArray, 1, byteArray.length); System.out.println("byteArray size: " + byteArray.length); RSAPublicKey publicKey = (RSAPublicKey) keyPair.getPublic(); Cipher cipher = Cipher.getInstance("RSA", "BC"); cipher.init(Cipher.ENCRYPT_MODE, publicKey); byte[] encryptedBytes = cipher.doFinal(byteArray); System.out.println("Success!"); } } (obs. its just a test, i would never encrypt the private key with its pair public key) The byte array is 128 bytes, the exactly maximum allowed by a RSA block, so why the exception? And how to fix it?

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  • Most efficient way to store this collection of moduli and remainders?

    - by Bryan
    I have a huge collection of different moduli and associated with each modulus a fairly large list of remainders. I want to store these values so that I can efficiently determine whether an integer is equivalent to any one of the remainders with respect to any of the moduli (it doesn't matter which, I just want a true/false return). I thought about storing these values as a linked-list of balanced binary trees, but I was wondering if there is a better way? EDIT Perhaps a little more detail would be helpful. As for the size of this structure, it will be holding about 10s of thousands of (prime-1) moduli and associated to each modulus will be a variable amount of remainders. Most moduli will only have one or two remainders associated to it, but a very rare few will have a couple hundred associated to it. This is part of a larger program which handles numbers with a couple thousand (decimal) digits. This program will benefit more from this table being as large as possible and being able to be searched quickly. Here's a small part of the dataset where the moduli are in parentheses and the remainders are comma separated: (46) k = 20 (58) k = 15, 44 (70) k = 57 (102) k = 36, 87 (106) k = 66 (156) k = 20, 59, 98, 137 (190) k = 11, 30, 68, 87, 125, 144, 182 (430) k = 234 (520) k = 152, 282 (576) k = 2, 11, 20, 29, 38, 47, 56, 65, 74, ...(add 9 each time), 569 I had said that the moduli were prime, but I was wrong they are each one below a prime.

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  • How to verify if the private key matches with the certificate..?

    - by surendhar_s
    I have the private key stored as .key file.. -----BEGIN RSA PRIVATE KEY----- MIICXAIBAAKBgQD5YBS6V3APdgqaWAkijIUHRK4KQ6eChSaRWaw9L/4u8o3T1s8J rUFHQhcIo5LPaQ4BrIuzHS8yzZf0m3viCTdZAiDn1ZjC2koquJ53rfDzqYxZFrId 7a4QYUCvM0gqx5nQ+lw1KoY/CDAoZN+sO7IJ4WkMg5XbgTWlSLBeBg0gMwIDAQAB AoGASKDKCKdUlLwtRFxldLF2QPKouYaQr7u1ytlSB5QFtIih89N5Avl5rJY7/SEe rdeL48LsAON8DpDAM9Zg0ykZ+/gsYI/C8b5Ch3QVgU9m50j9q8pVT04EOCYmsFi0 DBnwNBRLDESvm1p6NqKEc7zO9zjABgBvwL+loEVa1JFcp5ECQQD9/sekGTzzvKa5 SSVQOZmbwttPBjD44KRKi6LC7rQahM1PDqmCwPFgMVpRZL6dViBzYyWeWxN08Fuv p+sIwwLrAkEA+1f3VnSgIduzF9McMfZoNIkkZongcDAzjQ8sIHXwwTklkZcCqn69 qTVPmhyEDA/dJeAK3GhalcSqOFRFEC812QJAXStgQCmh2iaRYdYbAdqfJivMFqjG vgRpP48JHUhCeJfOV/mg5H2yDP8Nil3SLhSxwqHT4sq10Gd6umx2IrimEQJAFNA1 ACjKNeOOkhN+SzjfajJNHFyghEnJiw3NlqaNmEKWNNcvdlTmecObYuSnnqQVqRRD cfsGPU661c1MpslyCQJBAPqN0VXRMwfU29a3Ve0TF4Aiu1iq88aIPHsT3GKVURpO XNatMFINBW8ywN5euu8oYaeeKdrVSMW415a5+XEzEBY= -----END RSA PRIVATE KEY----- And i extracted public key from ssl certificate file.. Below is the code i tried to verify if private key matches with ssl certificate or not.. I used the modulus[i.e. private key get modulus==public key get modulus] to check if they are matching.. And this seems to hold only for RSAKEYS.. But i want to check for other keys as well.. Is there any other alternative to do the same..?? private static boolean verifySignature(File serverCertificateFile, File serverCertificateKey) { try { byte[] certificateBytes = FileUtils.readFileToByteArray(serverCertificateFile); //byte[] keyBytes = FileUtils.readFileToByteArray(serverCertificateKey); RandomAccessFile raf = new RandomAccessFile(serverCertificateKey, "r"); byte[] buf = new byte[(int) raf.length()]; raf.readFully(buf); raf.close(); PKCS8EncodedKeySpec kspec = new PKCS8EncodedKeySpec(buf); KeyFactory kf; try { kf = KeyFactory.getInstance("RSA"); RSAPrivateKey privKey = (RSAPrivateKey) kf.generatePrivate(kspec); CertificateFactory certFactory = CertificateFactory.getInstance("X.509"); InputStream in = new ByteArrayInputStream(certificateBytes); //Generate Certificate in X509 Format X509Certificate cert = (X509Certificate) certFactory.generateCertificate(in); RSAPublicKey publicKey = (RSAPublicKey) cert.getPublicKey(); in.close(); return privKey.getModulus() == publicKey.getModulus(); } catch (NoSuchAlgorithmException ex) { logger.log(Level.SEVERE, "Such algorithm is not found", ex); } catch (CertificateException ex) { logger.log(Level.SEVERE, "certificate exception", ex); } catch (InvalidKeySpecException ex) { Logger.getLogger(CertificateConversion.class.getName()).log(Level.SEVERE, null, ex); } } catch (IOException ex) { logger.log(Level.SEVERE, "Signature verification failed.. This could be because the file is in use", ex); } return false; } And the code isn't working either.. throws invalidkeyspec exception

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