Three Authentication Schemes without Secrecy over Finite Fields and Galois Rings

Autor: Juan Carlos Ku-Cauich, Miguel Angel Márquez-Hidalgo
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 9, p 942 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9090942
Popis: We provide 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 based 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 obtain a better relationship between the size of the message space and the key space than the one given in a recent paper. Finally, we provide a third scheme on Galois rings.
Databáze: Directory of Open Access Journals