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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
Full-Text   |   PDF [320 KB, uploaded 12 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-Text
Keywords: authentication schemes; resilient maps; gray map authentication schemes; resilient maps; gray map
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. (CC BY 4.0).
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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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