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...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Nagy Gábor Péter
El Khalfaoui Sabira
Dokumentumtípus: Cikk
Megjelent: University of Szeged, Institute of Informatics Szeged 2020
Sorozat:Acta cybernetica 24 No. 4
Kulcsszavak:Kriptográfia
Tárgyszavak:
doi:10.14232/actacyb.285453

Online Access:http://acta.bibl.u-szeged.hu/71764
Leíró adatok
Tartalmi kivonat: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.
Terjedelem/Fizikai jellemzők:625-641
ISSN:0324-721X