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, such as key size and security level. The McEliece scheme is one of the promising alte...
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| Dokumentumtípus: | Cikk |
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University of Szeged, Institute of Informatics
Szeged
2020
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| Sorozat: | Acta cybernetica
24 No. 4 |
| Kulcsszavak: | Kriptográfia |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.285453 |
| Online Access: | http://acta.bibl.u-szeged.hu/71764 |
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| 024 | 7 | |a 10.14232/actacyb.285453 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Nagy Gábor Péter | |
| 245 | 1 | 0 | |a Estimating the dimension of the subfield subcodes of hermitian codes |h [elektronikus dokumentum] / |c Nagy Gábor Péter |
| 260 | |a University of Szeged, Institute of Informatics |b Szeged |c 2020 | ||
| 300 | |a 625-641 | ||
| 490 | 0 | |a Acta cybernetica |v 24 No. 4 | |
| 520 | 3 | |a 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. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 650 | 4 | |a Számítás- és információtudomány | |
| 695 | |a Kriptográfia | ||
| 700 | 0 | 2 | |a El Khalfaoui Sabira |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/71764/1/cybernetica_024_numb_004_625-641.pdf |z Dokumentum-elérés |