MAKE: a Matrix Action Key Exchange
September 01, 2020 Β· Declared Dead Β· π IACR Cryptology ePrint Archive
"No code URL or promise found in abstract"
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Authors
Nael Rahman, Vladimir Shpilrain
arXiv ID
2009.00716
Category
cs.CR: Cryptography & Security
Cross-listed
math.GR
Citations
15
Venue
IACR Cryptology ePrint Archive
Last Checked
4 months ago
Abstract
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 (including Shor's quantum algorithm attack) are not applicable.
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