Method, system and computer program for polynomial based...

G - Physics – 06 – F

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G06F 7/00 (2006.01) G06F 21/00 (2006.01)

Patent

CA 2588169

A secure hashing method is provided consisting of: (1) representing an initial sequence of bits as a specially constructed set of polynomials as described herein, (2) transformation of this set by masking, (3) partitioning the transformed set of polynomials into a plurality of classes, (4) forming the bit string during the partitioning, (5) for each of the plurality of classes, factoring each of the polynomials and, so as to define a set of irreducible polynomials, collecting these factors in registers defined for each of the plurality of classes, (6) wrapping the values of the registers from the plurality of classes by means of an enumeration, (7) organizing the enumerations and the bit strings into a knapsack, and, finally, (8) performing an exponentiation in a group to obtain the hash value or the MAC value.

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