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dc.contributor.authorHai Q. Dinhen_US
dc.contributor.authorRamy Taki ElDinen_US
dc.contributor.authorBac T. Nguyenen_US
dc.contributor.authorRoengchai Tansuchaten_US
dc.description.abstract© 2020, Springer Science+Business Media, LLC, part of Springer Nature. If we fix the code length n and dimension k, maximum distance separable (briefly, MDS) codes form an important class of codes because the class of MDS codes has the greatest error-correcting and detecting capabilities. In this paper, we establish all MDS constacyclic codes of length ps over Fpm. We also give some examples of MDS constacyclic codes over finite fields. As an application, we construct all quantum MDS codes from repeated-root codes of prime power lengths over finite fields using the CSS and Hermitian constructions. We provide all quantum MDS codes constructed from dual codes of repeated-root codes of prime power lengths over finite fields using the Hermitian construction. They are new in the sense that their parameters are different from all the previous constructions. Moreover, some of them have larger Hamming distances than the well known quantum error-correcting codes in the literature.en_US
dc.subjectPhysics and Astronomyen_US
dc.titleMDS Constacyclic Codes of Prime Power Lengths Over Finite Fields and Construction of Quantum MDS Codesen_US
article.title.sourcetitleInternational Journal of Theoretical Physicsen_US
article.volume59en_US Universityen_US Shams Universityen_US Mai Universityen_US Nguyen University of Economics and Business Administrationen_US
Appears in Collections:CMUL: Journal Articles

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