PUBLIC KEY CRYPTOGRAPHY METHOD

摘要

The invention features a public key cryptography method based on the discrete logarithm which computes a value Gkmod p. Two solutions are proposed to reduce the number of multiplications, one consisting in generating "hollow" k exponents with a few bits of value 1, but of sufficient length to maintain the total security of the system, and the other consisting of performing calculations of the powers of g in parallel while combining the exponents with each other in order to prevent repeating the same power computations twice for a given exponent. The invention is useful for generating digital signatures, authentication and encryption.