[Resource Topic] 2021/116: MAKE: a Matrix Action Key Exchange

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MAKE: a Matrix Action Key Exchange

Authors: Nael Rahman, Vladimir Shpilrain


We offer a public key exchange protocol based on a semidirect product of two cyclic (semi)groups of matrices over Z_p. One of the (semi)groups is additive, the other one multiplicative. This allows us to take advantage of both operations on matrices to diffuse information. We note that in our protocol, no power of any matrix or of any element of Z_p is ever exposed, so all standard attacks on Diffie-Hellman-like protocols are not applicable.

ePrint: https://eprint.iacr.org/2021/116

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