Abstract
The concept of asymmetric cryptographic algorithms introduced by W. Diffie and M. Hellman in 1976 is considered. The problems of factorization of large integers and finding discrete logarithms for elements of finite large-order groups are presented. It is proved that asymmetric cryptographic algorithms based on the problem of finding a discrete logarithm for points of an elliptic curve over a finite field should be used in modern information technology.
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