components of RSA keys?
Good afternoon, When generating an RSA key, several components are described in the output file. Per the RSA specification on wikipedia, I can identify the following values: prime1: p prime2: q modulus: N = p * q publicExponent: e privateExponent: d What I'm not clear about is what function these values play: exponent1: ?? exponent2: ?? coefficient: ?? Can someone explain? Thanks, Mike __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org
Re: components of RSA keys?
Take a look at : http://en.wikipedia.org/wiki/RSA#Using_the_Chinese_remainder_algorithm exponent1 = dp exponent2 = dq coefficient = qInv -- Mounir IDRASSI IDRIX http://www.idrix.fr On 12/23/2010 9:48 PM, Mike Mohr wrote: Good afternoon, When generating an RSA key, several components are described in the output file. Per the RSA specification on wikipedia, I can identify the following values: prime1: p prime2: q modulus: N = p * q publicExponent: e privateExponent: d What I'm not clear about is what function these values play: exponent1: ?? exponent2: ?? coefficient: ?? Can someone explain? Thanks, Mike __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org
Re: components of RSA keys?
On Thu, Dec 23, 2010 at 3:48 PM, Mike Mohr akih...@gmail.com wrote: Good afternoon, When generating an RSA key, several components are described in the output file. Per the RSA specification on wikipedia, You should question anything on Wiki since it is generally unedited. Don't make the mistake of the fellow posting on sci.crypt who claimed Dr. Adler's reference implementation of ADLER-32 was wrong because there was a discrepancy in Wiki. From Need peer review: May have found mistake in Adler-32!: This is going out the Mr. Adler, his friends at zlib, the related newsgroups comp.compression and sci.crypt, and the newsgroups sci.math and sci.math.num-analysis... This post relates to suspec calculations... [1] I can identify the following values: prime1: p prime2: q modulus: N = p * q publicExponent: e privateExponent: d What I'm not clear about is what function these values play: exponent1: ?? exponent2: ?? coefficient: ?? See Handbook of Applied Cryptography. All chapters are avialable online. http://www.cacr.math.uwaterloo.ca/hac/. Jeff [1] http://groups.google.com/group/comp.compression/browse_thread/thread/5a37a9fcd32786fd/9859a0c61a3fb333 __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org
Re: components of RSA keys?
Thanks much for the clarification. I'm interested in re-implementing RSA for my own education; can someone point me to the location in the openssl sources where the RSA keys are actually generated (so I can see how the BIGNUMs are manipulated)? Thanks, Mike On Thu, Dec 23, 2010 at 1:17 PM, Mounir IDRASSI mounir.idra...@idrix.net wrote: Take a look at : http://en.wikipedia.org/wiki/RSA#Using_the_Chinese_remainder_algorithm exponent1 = dp exponent2 = dq coefficient = qInv -- Mounir IDRASSI IDRIX http://www.idrix.fr On 12/23/2010 9:48 PM, Mike Mohr wrote: Good afternoon, When generating an RSA key, several components are described in the output file. Per the RSA specification on wikipedia, I can identify the following values: prime1: p prime2: q modulus: N = p * q publicExponent: e privateExponent: d What I'm not clear about is what function these values play: exponent1: ?? exponent2: ?? coefficient: ?? Can someone explain? Thanks, Mike __ OpenSSL Project http://www.openssl.org User Support Mailing List openssl-us...@openssl.org Automated List Manager majord...@openssl.org __ OpenSSL Project http://www.openssl.org User Support Mailing List openssl-us...@openssl.org Automated List Manager majord...@openssl.org __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org
Re: components of RSA keys?
Start at function rsa_builtin_keygen in file crypto/rsa/rsa_gen.c. Good hack, -- Mounir IDRASSI IDRIX http://www.idrix.fr On 12/24/2010 12:35 AM, Mike Mohr wrote: Thanks much for the clarification. I'm interested in re-implementing RSA for my own education; can someone point me to the location in the openssl sources where the RSA keys are actually generated (so I can see how the BIGNUMs are manipulated)? Thanks, Mike On Thu, Dec 23, 2010 at 1:17 PM, Mounir IDRASSI mounir.idra...@idrix.net wrote: Take a look at : http://en.wikipedia.org/wiki/RSA#Using_the_Chinese_remainder_algorithm exponent1 = dp exponent2 = dq coefficient = qInv -- Mounir IDRASSI IDRIX http://www.idrix.fr On 12/23/2010 9:48 PM, Mike Mohr wrote: Good afternoon, When generating an RSA key, several components are described in the output file. Per the RSA specification on wikipedia, I can identify the following values: prime1: p prime2: q modulus: N = p * q publicExponent: e privateExponent: d What I'm not clear about is what function these values play: exponent1: ?? exponent2: ?? coefficient: ?? Can someone explain? Thanks, Mike __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org __ OpenSSL Project http://www.openssl.org User Support Mailing Listopenssl-users@openssl.org Automated List Manager majord...@openssl.org
