Secret key cryptosystem and method utilizing factorizations of permutation groups of arbritrary order 2I

摘要

A secret-key block-cipher utilizing the principles of factorization and composition with respect to general logarithmic signatures in permutation groups of arbitrary size 2l, 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.