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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-09-01
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| Series: | Mathematical and Computational Applications |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2297-8747/23/3/46 |
| _version_ | 1811319353270861824 |
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| author | Juan Carlos Ku-Cauich Guillermo Morales-Luna Horacio Tapia-Recillas |
| author_facet | Juan Carlos Ku-Cauich Guillermo Morales-Luna Horacio Tapia-Recillas |
| author_sort | Juan Carlos Ku-Cauich |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T12:41:04Z |
| format | Article |
| id | doaj.art-8bc70ee3015449868b5746e2872eddff |
| institution | Directory Open Access Journal |
| issn | 2297-8747 |
| language | English |
| last_indexed | 2024-04-13T12:41:04Z |
| publishDate | 2018-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematical and Computational Applications |
| spelling | doaj.art-8bc70ee3015449868b5746e2872eddff2022-12-22T02:46:31ZengMDPI 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 |
| 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 |
| title | 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_short | 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 |
| topic | authentication schemes resilient maps gray map |
| url | http://www.mdpi.com/2297-8747/23/3/46 |
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