ENCRYPTION METHOD Russian patent published in 2012 - IPC H04K1/00 

FIELD: information technology.

SUBSTANCE: original message M is generated in form of a non-commutative finite group G based on Cayley algebra while performing modulo operations over a prime number p; a secret encryption key is generated in form of pairs of elements X and X^-1 of group G and a multidigit number e; the initial cryptogram Y is generated by generating an element R of group G by raising the original message M to the power of e; an element V of group G is generated by performing a group operation over elements X and R of group G and subsequent group operation over elements V and X^-1 of group G; a cryptogram C is generated in form of an element G by y-fold performance of an operation similar to the operation of generating the initial cryptogram Y, except that on each i-th step, elements Xⁱ and X^-i are used as elements X and X^-1 of group G, respectively, and the result of the previous operation (Y, Y₁, Y₂, …, Y_i) is used instead of element M.

EFFECT: high cryptographic robustness when using relatively low degree of computations.

3 tbl, 1 ex