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.
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.
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.
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.
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. Besides it is conditioned to the existence of a special class of bent maps on Galois rings.
Keywords
authentication schemes; resilient maps; gray map
Subject
Computer Science and Mathematics, Algebra and 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.
