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Public Key Protocols over Skew Dihedral Group Rings

Author

Listed:
  • 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)

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.

Suggested Citation

  • Javier de la Cruz & Edgar Martínez-Moro & Ricardo Villanueva-Polanco, 2022. "Public Key Protocols over Skew Dihedral Group Rings," Mathematics, MDPI, vol. 10(18), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3343-:d:915474
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    References listed on IDEAS

    as
    1. María Dolores Gómez Olvera & Juan Antonio López Ramos & Blas Torrecillas Jover, 2022. "Secure Group Communications Using Twisted Group Rings," Mathematics, MDPI, vol. 10(16), pages 1-16, August.
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