Math. Comput. Appl. 2018, 23(3), 46; https://doi.org/10.3390/mca23030046
An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
1
Computer Science, CINVESTAV-IPN, Mexico City 07360, Mexico
2
Departamento de Matemáticas, Universidad Autónoma Metropolitana-I, Mexico City 14387, Mexico
†
Current address: Av. IPN 2508, San Pedro Zacatenco, Mexico City 07300, Mexico
‡
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 27 July 2018 / Revised: 2 September 2018 / Accepted: 2 September 2018 / Published: 6 September 2018
Abstract
Two new systematic authentication codes based on the Gray map over a Galois ring are introduced. The first introduced code attains optimal impersonation and substitution probabilities. The second code improves space sizes, but it does not attain optimal probabilities. Additionally, it is conditioned to the existence of a special class of bent maps on Galois rings. View Full-TextKeywords:
authentication schemes; resilient maps; gray map
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Ku-Cauich, J.C.; Morales-Luna, G.; Tapia-Recillas, H. An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities. Math. Comput. Appl. 2018, 23, 46.
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