On The Dimension of The Subfield Subcodes of 1-Point Hermitian Codes
Algebraic Geometry
2019-09-10 v2 Information Theory
math.IT
Abstract
Subfield subcodes of algebraic-geometric codes are good candidates for the use in post-quantum cryptosystems, provided their true parameters such as dimension and minimum distance can be determined. In this paper we present new values of the true dimension of subfield subcodes of --point Hermitian codes, including the case when the subfield is not binary.
Keywords
Cite
@article{arxiv.1906.10444,
title = {On The Dimension of The Subfield Subcodes of 1-Point Hermitian Codes},
author = {Sabira El Khalfaoui and Gábor P. Nagy},
journal= {arXiv preprint arXiv:1906.10444},
year = {2019}
}