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)
How to cite:
Ku-Cauich, J.C.; Márquez-Hidalgo, M.A. Three authentication schemes without secrecy over finite fields and Galois rings. Preprints2021, 2021010540 (doi: 10.20944/preprints202101.0540.v2).
Ku-Cauich, J.C.; Márquez-Hidalgo, M.A. Three authentication schemes without secrecy over finite fields and Galois rings. Preprints 2021, 2021010540 (doi: 10.20944/preprints202101.0540.v2).
Cite as:
Ku-Cauich, J.C.; Márquez-Hidalgo, M.A. Three authentication schemes without secrecy over finite fields and Galois rings. Preprints2021, 2021010540 (doi: 10.20944/preprints202101.0540.v2).
Ku-Cauich, J.C.; Márquez-Hidalgo, M.A. Three authentication schemes without secrecy over finite fields and Galois rings. Preprints 2021, 2021010540 (doi: 10.20944/preprints202101.0540.v2).
Abstract
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].
MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Juan Carlos Ku-Cauich
Commenter's Conflict of Interests: Author