Three authentication schemes without secrecy over finite fields and Galois rings

Juan Carlos Ku-Cauich; Miguel Angel Márquez-Hidalgo

doi:10.20944/preprints202101.0540.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 25 January 2021 / Approved: 26 January 2021 / Online: 26 January 2021 (13:25:14 CET)
Version 2 : Received: 24 March 2021 / Approved: 25 March 2021 / Online: 25 March 2021 (16:00:52 CET)

We give three new authentication schemes without secrecy. The first two on finite fields and Galois rings, using Gray map for this link. The third construction is given on Galois rings. The main achievement in this work is to obtain optimal impersonation and substitution probabilities in the schemes. Additionally, in the first and second scheme, we simplify the source space and bring a better relationship between the size of the message space and the key space than the given in [8]. Finally, we provide a third scheme on Galois rings, which generalizes the scheme over finite fields constructed in [9].

Authentication Schemes; Resilient functions; Gray map

Computer Science and Mathematics, Algebra and Number Theory

Comment 1

Received: 25 March 2021
Commenter: Juan Carlos Ku-Cauich
Commenter's Conflict of Interests: Author

Comment: We fixed errors in writing, abstract, introduction, and keywords

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Three authentication schemes without secrecy over finite fields and Galois rings

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