An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities

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...

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Bibliographic Details
Main Authors: Juan Carlos Ku-Cauich, Guillermo Morales-Luna, Horacio Tapia-Recillas
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Mathematical and Computational Applications
Subjects:
authentication schemes
resilient maps
gray map
Online Access:http://www.mdpi.com/2297-8747/23/3/46
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spelling doaj-8bc70ee3015449868b5746e2872eddff2020-11-25T01:42:32ZengMDPI AGMathematical and Computational Applications2297-87472018-09-012334610.3390/mca23030046mca23030046An Authentication Code over Galois Rings with Optimal Impersonation and Substitution ProbabilitiesJuan Carlos Ku-Cauich0Guillermo Morales-Luna1Horacio Tapia-Recillas2Computer Science, CINVESTAV-IPN, Mexico City 07360, MexicoComputer Science, CINVESTAV-IPN, Mexico City 07360, MexicoDepartamento de Matemáticas, Universidad Autónoma Metropolitana-I, Mexico City 14387, MexicoTwo 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.http://www.mdpi.com/2297-8747/23/3/46authentication schemesresilient mapsgray map
collection DOAJ
language English
format Article
sources DOAJ
author Juan Carlos Ku-Cauich
Guillermo Morales-Luna
Horacio Tapia-Recillas
spellingShingle Juan Carlos Ku-Cauich
Guillermo Morales-Luna
Horacio Tapia-Recillas
An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
Mathematical and Computational Applications
authentication schemes
resilient maps
gray map
author_facet Juan Carlos Ku-Cauich
Guillermo Morales-Luna
Horacio Tapia-Recillas
author_sort Juan Carlos Ku-Cauich
title An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
title_short An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
title_full An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
title_fullStr An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
title_full_unstemmed An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
title_sort authentication code over galois rings with optimal impersonation and substitution probabilities
publisher MDPI AG
series Mathematical and Computational Applications
issn 2297-8747
publishDate 2018-09-01
description 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.
topic authentication schemes
resilient maps
gray map
url http://www.mdpi.com/2297-8747/23/3/46
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