Estimating the Dimension Of The Subfield Subcodes of Hermitian Codes

Keywords: algebraic geometry code, Hermitian code, subfield subcode, extreme value distribution

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.

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Published
2020-07-25
How to Cite
Nagy, G. P., & El Khalfaoui, S. (2020). Estimating the Dimension Of The Subfield Subcodes of Hermitian Codes. Acta Cybernetica. https://doi.org/10.14232/actacyb.285453
Section
Regular articles