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
*
Author to whom correspondence should be addressed.
†
Current address: Av. IPN 2508, San Pedro Zacatenco, Mexico City 07300, Mexico
‡
These authors contributed equally to this work.
Math. Comput. Appl. 2018, 23(3), 46; https://doi.org/10.3390/mca23030046
Received: 27 July 2018
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Revised: 2 September 2018
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Accepted: 2 September 2018
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Published: 6 September 2018
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.
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Keywords:
authentication schemes; resilient maps; gray map
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MDPI and ACS Style
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. https://doi.org/10.3390/mca23030046
AMA Style
Ku-Cauich JC, Morales-Luna G, Tapia-Recillas H. An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities. Mathematical and Computational Applications. 2018; 23(3):46. https://doi.org/10.3390/mca23030046
Chicago/Turabian StyleKu-Cauich, Juan C., Guillermo Morales-Luna, and Horacio Tapia-Recillas. 2018. "An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities" Mathematical and Computational Applications 23, no. 3: 46. https://doi.org/10.3390/mca23030046
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