Estimating the Dimension of the Subfield Subcodes of Hermitian Codes
In this paper, we study the behavior of the true dimension of the subfield subcodes of Hermitian codes. Our motivation is to use these classes of linear codes to improve the parameters of the McEliece cryptosystem, suchas key size and security level. The McEliece scheme is one of the promising alter...
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| Veröffentlicht in: | Acta cybernetica (Szeged) 2020-07, Vol.24 (4), p.625-641 |
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| creator | Nagy, Gábor Péter El Khalfaoui, Sabira |
| description | In this paper, we study the behavior of the true dimension of the subfield subcodes of Hermitian codes. Our motivation is to use these classes of linear codes to improve the parameters of the McEliece cryptosystem, suchas key size and security level. The McEliece scheme is one of the promising alternative cryptographic schemes to the current public key schemes since in the last four decades, they resisted all known quantum computing attacks. By computing and analyzing a data collection of true dimensions of subfield subcodes, we concluded that they can be estimated by the extreme value distribution function. |
| doi_str_mv | 10.14232/actacyb.285453 |
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| ispartof | Acta cybernetica (Szeged), 2020-07, Vol.24 (4), p.625-641 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Algebra Algorithms Codes Cryptography Distribution functions Extreme values Geometry Linear codes Quantum computing Reed-Solomon codes |
| title | Estimating the Dimension of the Subfield Subcodes of Hermitian Codes |
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