Public Key Protocols over Skew Dihedral Group Rings

Javier de la Cruz, Edgar Martínez-Moro and Ricardo Villanueva-Polanco ()
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Javier de la Cruz: Department of Mathematics and Statistics, Universidad del Norte, Barranquilla 081007, Colombia
Edgar Martínez-Moro: Institute of Mathematics, Universidad de Valladolid, 47011 Valladolid, Spain
Ricardo Villanueva-Polanco: Department of Computer Science and Engineering, Universidad del Norte, Barranquilla 081007, Colombia

Mathematics, 2022, vol. 10, issue 18, 1-18

Abstract: This paper introduces skew dihedral group rings and their applications for public-key cryptography. We present a specific skew group ring that is the underlying algebraic platform for our cryptographic constructions. We then build a two-party key exchange protocol and present an analysis of its security. We then exploit it to derive a group key agreement protocol, a probabilistic public-key scheme, and a key encapsulation mechanism. In addition to the security analysis of our cryptographic constructions, we present a proof-of-concept implementation.

Keywords: dihedral group; group ring; group key exchange protocol; public-key scheme; key encapsulation mechanism (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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