Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra-Reference-Cited by-同舟云学术

Symmetric and asymmetric cryptographic key exchange protocols in the octonion algebra

Published:2019-11-02 Issue:1 Volume:32 Page:81-96
ISSN:0938-1279
Container-title:Applicable Algebra in Engineering, Communication and Computing
language:en
Short-container-title:AAECC

Author:

Lipiński Z.

Abstract

AbstractWe propose three cryptographic key exchange protocols in the octonion algebra. Using the totient function, defined for integral octonions, we generalize the RSA public-key cryptosystem to the octonion arithmetics. The two proposed symmetric cryptographic key exchange protocols are based on the automorphism and the derivation of the octonion algebra.

Funder

Opole University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s00200-019-00402-1.pdf

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