Nagy Gábor Péter and El Khalfaoui Sabira: Estimating the dimension of the subfield subcodes of hermitian codes. In: Acta cybernetica, (24) 4. pp. 625-641. (2020)
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Abstract
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, such as 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.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Acta cybernetica |
| Date: | 2020 |
| Volume: | 24 |
| Number: | 4 |
| ISSN: | 0324-721X |
| Page Range: | pp. 625-641 |
| Language: | English |
| Publisher: | University of Szeged, Institute of Informatics |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/71734/ |
| DOI: | 10.14232/actacyb.285453 |
| Uncontrolled Keywords: | Kriptográfia |
| Additional Information: | Bibliogr.: p. 638-641. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2021. Feb. 05. 11:57 |
| Last Modified: | 2022. Jun. 21. 09:47 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/71764 |
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