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1
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84882090620
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When implenmenting RSA, the PKCS #1 standard (v2.1) is by far the most important resource. It describes the OAEP and PSS padding techniques, CRT exponentiation, and the ASN. 1 definitions required for interoperability. For FIPS 180-2 DSS compliance, the ANSI X9.31 standard must be used
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When implenmenting RSA, the PKCS #1 standard (v2.1) is by far the most important resource. It describes the OAEP and PSS padding techniques, CRT exponentiation, and the ASN. 1 definitions required for interoperability. For FIPS 180-2 DSS compliance, the ANSI X9.31 standard must be used.
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2
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85013754173
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When implementing ECC, the ANSI X9.62 standard specifies EC-DSA and is used by FIPS 180-2 DSS. The ANSI X9.63 standard specifies ECC encryption, key storage, and a few authentication schemes (a couple of which have patents). Currently, NIST is working on SP800-56A, which specifies ANSI X9.42 using discrete logarithm systems (like ElGamal), and X9.63 using ECC. An additional specification SP800-56B specifies ANSI X9. 44 (RSA encryption). It is more likely that SP800-56A will become more popular in the future, as it uses ECC as oppose to RSA
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When implementing ECC, the ANSI X9.62 standard specifies EC-DSA and is used by FIPS 180-2 DSS. The ANSI X9.63 standard specifies ECC encryption, key storage, and a few authentication schemes (a couple of which have patents). Currently, NIST is working on SP800-56A, which specifies ANSI X9.42 using discrete logarithm systems (like ElGamal), and X9.63 using ECC. An additional specification SP800-56B specifies ANSI X9. 44 (RSA encryption). It is more likely that SP800-56A will become more popular in the future, as it uses ECC as oppose to RSA.
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3
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85013818232
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A good reference for the large integer operations is BigNum Math, which discusses the creation of a portable and efficient multiple precision large integer operations. That book uses both pseudo code and real production C source code to demonstrate the math to the reader. It is by no means a hard read and is well suited for the target audience of this text., Syngress
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Denis Tom St, Rose Greg BigNum Math: Implementing Cryptographic Multiple Precision Arithmetic 2006, A good reference for the large integer operations is BigNum Math, which discusses the creation of a portable and efficient multiple precision large integer operations. That book uses both pseudo code and real production C source code to demonstrate the math to the reader. It is by no means a hard read and is well suited for the target audience of this text., Syngress.
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(2006)
BigNum Math: Implementing Cryptographic Multiple Precision Arithmetic
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Denis, T.S.1
Rose, G.2
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4
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11244267013
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For implementing ECC math, the reader is strongly encouraged to obtain a copy of the Guide to Elliptic Curve Cryptography, Springer
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Hankerson D., Menezes A., Vanstone S. Guide to Elliptic Curve Cryptography 2004, For implementing ECC math, the reader is strongly encouraged to obtain a copy of the Guide to Elliptic Curve Cryptography, Springer.
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(2004)
Guide to Elliptic Curve Cryptography
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Hankerson, D.1
Menezes, A.2
Vanstone, S.3
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5
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85013831259
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The LibTomCrypt package provides PKCS #1 compliant RSA and ANSI X9.62 compliant EC-DSA. It uses a modified key derivation function and key storage that is incompatible with X9.63. LibTomCrypt employs the use of CRT exponentiation for RSA. It uses Jacobian-affine co-ordinates for the ECC math. It provides both a sliding window random point multiplier and a fixed point multiplier. Since the code is well commented and public domain, it is a valuable source of implementation insight
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The LibTomCrypt package provides PKCS #1 compliant RSA and ANSI X9.62 compliant EC-DSA. It uses a modified key derivation function and key storage that is incompatible with X9.63. LibTomCrypt employs the use of CRT exponentiation for RSA. It uses Jacobian-affine co-ordinates for the ECC math. It provides both a sliding window random point multiplier and a fixed point multiplier. Since the code is well commented and public domain, it is a valuable source of implementation insight.
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