Cryptography – Particular algorithmic function encoding
Patent
1998-04-08
2000-03-14
Laufer, Pinchus M.
Cryptography
Particular algorithmic function encoding
380 37, 380 43, H04L 928
Patent
active
060383178
ABSTRACT:
A secret-key block-cipher utilizing the principles of factorization and composition with respect to general logarithmic signatures in permutation groups of arbitrary size 2.sup.l, and methods of use thereof are disclosed. The preferred embodiment uses two encryption/decryption stages from composition and factorization means including novel and efficient circuits for multiplication and inversion of permutations, operating in their compact form representation. The system is scalable to any input/output block size l and performs encryption/decryption at very high data rates.
REFERENCES:
patent: 3962539 (1976-06-01), Ehrsan et al.
patent: 4078152 (1978-03-01), Tuckerman
patent: 4200770 (1980-04-01), Hellman et al.
patent: 4405829 (1983-09-01), Rivest et al.
patent: 4850019 (1989-07-01), Shimizu et al.
patent: 5003597 (1991-03-01), Merkle
patent: 5214703 (1993-05-01), Massey et al.
patent: 5270956 (1993-12-01), Oruc et al.
patent: 5276737 (1994-01-01), Micali
patent: 5351299 (1994-09-01), Matsuzaki et al.
patent: 5511123 (1996-04-01), Adams
patent: 5515307 (1996-05-01), Aiello et al.
patent: 5577123 (1996-11-01), Shimada
patent: 5740250 (1998-04-01), Moh
"A New Random Number Generator from Permutation Groups", S. S. Magliveras, B. A. Oberg and A. J. Surkan, Rend. del Sem. Matemat. e Fis. di Milano, LIV (1984), pp. 203-223.
"A cryptosystem from logarithmic signatures of finite groups", S. S. Magliveras, Proceedings of the 29'th Midwest Symposium on Circuits and Systems, Elsevier Publishing Company (1986), pp. 972-975.
"The Linear Complexity Profile of Cryptosystem PGM", S. S. Magliveras and N. D. Memon, Congressus Numerantium, Utilitas Mathematica, 72 (1989), pp. 51-60.
"On Logarithmic Signatures and Applications", N. D. Memon, M.Sc. Thesis, University of Nebraska-Lincoln, (1989), pp. 1-59.
"Complexity tests for cryptosystem PGM", S. S. Magliveras, N. D. Memon and K.C. Tam, Congressus Numerantium, Utilitas Mathematica, 79 (1990), pp. 61-68.
"Algebraic Properties of Cryptosystem PGM", S. S. Magliveras and N. D. Memon, Journal of Cryptology, 5 (1992), pp. 167-183.
"Factorizations of elementary Abelian p-groups and their cryptographic significance", M. Qu and S. A. Vanstone, J. of Cryptology, 7 (1994), pp. 201-212.
"A Parallel Permutation Multiplier for a PGM Crypto-chip", T. Horvath, S. Magliveras, Tran van Trung, Advances in Cryptology--CRYPTO'94, Springer-Verlag 1994, pp. 108-113.
Horvath Tamas
Magliveras Spyros S.
Tran Van Trung
Laufer Pinchus M.
Welch James D.
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