The second generalized Hamming weight of certain Castle codes

We compute the bound d 2 ∗ on the second generalized Hamming weight for some AG codes coming from Castle curves. We consider those codes related to Weierstrass semigroups generated by two integers. Important codes as Hermitian, Norm-Trace and certain hyperelliptic codes belong to this class of codes...

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Veröffentlicht in:	Designs, codes, and cryptography codes, and cryptography, 2015-07, Vol.76 (1), p.81-87
Hauptverfasser:	Olaya-León, Wilson, Granados-Pinzón, Claudia
Format:	Artikel
Sprache:	eng
Schlagworte:	Circuits Coding and Information Theory Computer Science Cryptology Data Structures and Information Theory Discrete Mathematics in Computer Science Information and Communication
Online-Zugang:	Volltext
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Zusammenfassung:	We compute the bound d 2 ∗ on the second generalized Hamming weight for some AG codes coming from Castle curves. We consider those codes related to Weierstrass semigroups generated by two integers. Important codes as Hermitian, Norm-Trace and certain hyperelliptic codes belong to this class of codes. We obtain a simple characterization for the true values of the second generalized Hamming weight of all Hermitian codes.
ISSN:	0925-1022 1573-7586
DOI:	10.1007/s10623-014-9981-1