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On the dimension of the subfield subcodes of 1-point Hermitian codes

Sabira El Khalfaoui, ,Bolyai Institute of the University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary, Gábor P. Nagy, ,Department of Algebra of the Budapest University of Technology and Economics, Egry József utca 1, H-1111 Budapest, Hungary
2019 Advances in Mathematics of Communications  

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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 1-point Hermitian codes, including the case when the subfield is not binary.
doi:10.3934/amc.2020054 fatcat:5fjrjcwqfjebxanlquizqam3oy
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Sabira El Khalfaoui, ,Bolyai Institute of the University of Szeged, Aradi vértanúk tere 1, H-6720 Szeged, Hungary, Gábor P. Nagy, ,Department of Algebra of the Budapest University of Technology and Economics, Egry József utca 1, H-1111 Budapest, Hungary. "On the dimension of the subfield subcodes of 1-point Hermitian codes." Advances in Mathematics of Communications 15.2 (2019) 0-0