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Public key exchange using matrices over group rings. (English) Zbl 1290.94099

Summary: We offer a public key exchange protocol in the spirit of Diffie-Hellman, but we use (small) matrices over a group ring of a (small) symmetric group as the platform. This “nested structure” of the platform makes computation very efficient for legitimate parties. We discuss security of this scheme by addressing the Decision Diffie-Hellman (DDH) and Computational Diffie-Hellman (CDH) problems for our platform.

MSC:

94A60 Cryptography
68P25 Data encryption (aspects in computer science)
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