Publication:
Constacyclic codes over finite commutative semi-simple rings

Issued Date

2017-05-01

Resource Type

Article

ISSN

10902465
10715797

DOI

10.1016/j.ffa.2016.11.008

Other identifier(s)

2-s2.0-85006377812

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Finite Fields and their Applications. Vol.45, (2017), 1-18

Suggested Citation

Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta Constacyclic codes over finite commutative semi-simple rings. Finite Fields and their Applications. Vol.45, (2017), 1-18. doi:10.1016/j.ffa.2016.11.008 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/42610

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Title

Constacyclic codes over finite commutative semi-simple rings

Author(s)

Hai Q. Dinh
 Bac T. Nguyen
 Songsak Sriboonchitta

Other Contributor(s)

Ton-Duc-Thang University
 Kent State University
 Mahidol University
 University of Economics and Business Administration
 Chiang Mai University

Abstract

© 2016 Finite commutative semi-simple rings are direct sum of finite fields. In this study, we investigate the algebraic structure of λ-constacyclic codes over such finite semi-simple rings. Among others, necessary and sufficient conditions for the existence of self-dual, LCD, and Hermitian dual-containing λ-constacyclic codes over finite semi-simple rings are provided. Using the CSS and Hermitian constructions, quantum MDS codes over finite semi-simple rings are constructed.

Keyword(s)

Engineering

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/42610

Collections

Scopus 2016-2017