Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 12 Nov 2014 English Publisher:WileyJournal:Journal of Discrete Mathematics, volume 2,014, pages 1-7 (issn: 2090-9837, eissn: 2090-9845,

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Authors: Amita Sahni; Poonam Trama Sehgal;

doi: 10.1155/2014/985387

Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields

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Abstract

Necessary and sufficient conditions for the existence of Hermitian self-orthogonal constacyclic codes of length n over a finite field Fq2, n coprime to q, are found. The defining sets and corresponding generator polynomials of these codes are also characterised. A formula for the number of Hermitian self-orthogonal constacyclic codes of length n over a finite field Fq2 is obtained. Conditions for the existence of numerous MDS Hermitian self-orthogonal constacyclic codes are obtained. The defining set and the number of such MDS codes are also found.

Related Organizations

Panjab University
India

Keywords

Algebraic coding theory; cryptography (number-theoretic aspects), Linear codes (general theory)

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