Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields | Zendy

Amita Sahni | Zendy; Poonam Trama Sehgal | Zendy

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Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields

Author(s) -

Amita Sahni,

Poonam Trama Sehgal

Publication year - 2014

Publication title -

journal of discrete mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-9837

pISSN - 2090-9845

DOI - 10.1155/2014/985387

Subject(s) - algorithm , artificial intelligence , computer science

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

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