Constacyclotomic Cosets and Constacyclonomials of Constacyclic Codes

A.J. van Zanten

Research output: Book/ReportReportProfessional

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Abstract

This report is a continuation of a previous report which dealt with generating and cyclonomic polynomials of constacyclic codes. Now, we introduce and investigate constacyclotomic cosets, generalizing the well-known cyclotomic cosets, and also constacyclonomials which generalize cyclonomials.These notions and their properties seem to be useful for the study of idempotent generators of constacyclic codes, especially for the derivation of orthogonality relations between
primitive idempotents. At the end of the report we point out how one can possibly generalize the approach we developed earlier for cyclic codes.
Original languageEnglish
PublisherTilburg University
Number of pages30
Publication statusPublished - 22 Jan 2015
Externally publishedYes

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Coset
Idempotent
Orthogonality Relations
Cyclic Codes
Generalise
Cyclotomic
Continuation
Generator
Polynomial

Cite this

van Zanten, A. J. (2015). Constacyclotomic Cosets and Constacyclonomials of Constacyclic Codes. Tilburg University.
van Zanten, A.J. / Constacyclotomic Cosets and Constacyclonomials of Constacyclic Codes. Tilburg University, 2015. 30 p.
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Constacyclotomic Cosets and Constacyclonomials of Constacyclic Codes. / van Zanten, A.J.

Tilburg University, 2015. 30 p.

Research output: Book/ReportReportProfessional

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van Zanten AJ. Constacyclotomic Cosets and Constacyclonomials of Constacyclic Codes. Tilburg University, 2015. 30 p.