A New Hard Problem over Non-commutative Finite Groups for Cryptographic Protocols.

A new computationally difficult problem defined over non-commutative finite groups is proposed as cryptographic primitive. The problem is used to construct public key agreement protocol and algorithms for public and commutative encryption. Finite non-commutative groups of the four-dimension vectors over the ground field are constructed and investigated as primitives for implementing the protocols and algorithms based on the proposed difficult problem. [ABSTRACT FROM AUTHOR]
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