Cryptography – Particular algorithmic function encoding
Reexamination Certificate
2006-04-18
2006-04-18
Zand, Kambiz (Department: 2132)
Cryptography
Particular algorithmic function encoding
C380S044000, C708S255000
Reexamination Certificate
active
07031468
ABSTRACT:
A method for performing a cryptographic operation involving transforming digital information is described. A digital operator is provided that has a component selected from a large set of elements. The component is expanded into a plurality of factors, each factor having a low Hamming weight. Digital information is transformed using the digital operator. Computer readable medium embody instructions for the method.
REFERENCES:
patent: 4232194 (1980-11-01), Adams
patent: 4935877 (1990-06-01), Koza
patent: 5136686 (1992-08-01), Koza
patent: 5148513 (1992-09-01), Koza et al.
patent: 5343554 (1994-08-01), Koza et al.
patent: 5517511 (1996-05-01), Hardwick et al.
patent: 5764771 (1998-06-01), De Vito et al.
patent: 5889868 (1999-03-01), Moskowitz et al.
patent: 5987129 (1999-11-01), Baba
patent: 6031911 (2000-02-01), Adams et al.
patent: 6487301 (2002-11-01), Zhao
Con Coppersmith and Gadiel Seroussi, On the Minimum Distance of Some Quadratic Residue Codes, IEEE Transactions on Information Theory, vol. IT-30 No. 2 Mar. 1984, pp. 407-411.
Finite Field and Elliptic Curve Systems, Stinson Cryptography Theory and Practice, pp. 177-190.
Jerome A. Solinas, Designs, Codes and Cryptography, 19, 195-249 (2000), Efficient Arithmetic on Koblitz Curves, , pp. 125-179.
Chapter 14 Exponentiation, Menezen Van Oorschot and Vanstone, Handbook of Applied Cryptography, pp. 613-628.
The Powering Algorithms, Henri Cohen, A Course in Computational Number Theory, pp. 8-12.
Chae Hoon Lim et al., Sparse RSA Secret Keys and Their Generation, pp. 1-15. (preprint).
D.R. Stinson, Some Baby-step giant-step algorithms for the low hamming weight discrete logarithm problem, , pp. 1-15.
What is a Random Sequence?, pp 149-179.
Evaluation of Powers, pp. 461-481.
Darrel Hankerson, Software Implementation of Elliptic Curve Cryptography over Binary Fields, pp. 1-24. (2000).
Jeffrey Hoffstein, NTRU: A Ring-Based Public Key Cryptosystem, et al. pp. 268-288.
Peter de Rooij, On the Security of the Schnorr Scheme Using Preprocessing, Eurocrypt, pp. 71-80, (1998).
C.P. Schnorr, Efficient Identification and Signatures for Smart Cards, pp. 239-252, (1998).
Jeffrey Hoffstein, NSS: An NTRU Lattice-Based Signature Scheme.
Daniel M. Gordon, A Survey of Fast Exponentiation Methods, Dec., 1997, Journal of Algorithms 27 (1998), 129-146, pp. 1-22.
Menezes, et al., Hanbook of Applied Cryptography, CRC Press, 1997, Chapter 7, 63-85.
Hoffstein Jeffrey
Silverman Joseph H.
Novack Martin
NTRU Cryptosystems, Inc.
Zand Kambiz
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