Spectral bounds for quasi-twisted codes

New lower bounds on the minimum distance of quasi-twisted codes over finite fields are proposed. They are based on spectral analysis and eigenvalues of polynomial matrices. They generalize the Semenov-Trifonov and Zeh-Ling bounds in a manner similar to how the Roos and shift bounds extend the BCH an...

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Main Authors:	Ezerman, Martianus Frederic, Ling, San, Özkaya, Buket, Tharnnukhroh, Jareena
Other Authors:	School of Physical and Mathematical Sciences
Format:	Conference or Workshop Item
Language:	English
Published:	2020
Subjects:	Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Quasi-twisted Code Roos Bound
Online Access:	https://hdl.handle.net/10356/138705
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-138705
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spelling	sg-ntu-dr.10356-1387052023-02-28T19:18:05Z Spectral bounds for quasi-twisted codes Ezerman, Martianus Frederic Ling, San Özkaya, Buket Tharnnukhroh, Jareena School of Physical and Mathematical Sciences 2019 IEEE International Symposium on Information Theory (ISIT) Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Quasi-twisted Code Roos Bound New lower bounds on the minimum distance of quasi-twisted codes over finite fields are proposed. They are based on spectral analysis and eigenvalues of polynomial matrices. They generalize the Semenov-Trifonov and Zeh-Ling bounds in a manner similar to how the Roos and shift bounds extend the BCH and HT bounds for cyclic codes. Accepted version 2020-05-12T03:18:10Z 2020-05-12T03:18:10Z 2019 Conference Paper Ezerman, M. F., Ling, S., Özkaya, B., & Tharnnukhroh, J. (2019). Spectral bounds for quasi-twisted codes. Proeeding of the 2019 IEEE International Symposium on Information Theory (ISIT), 1922-1926. IEEE. doi:10.1109/ISIT.2019.8849734 978-1-5386-9292-9 https://hdl.handle.net/10356/138705 10.1109/ISIT.2019.8849734 2-s2.0-85073156039 1922 1926 en © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/ISIT.2019.8849734 application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Quasi-twisted Code Roos Bound
spellingShingle	Engineering::Computer science and engineering::Information systems Science::Mathematics::Applied mathematics::Information theory Quasi-twisted Code Roos Bound Ezerman, Martianus Frederic Ling, San Özkaya, Buket Tharnnukhroh, Jareena Spectral bounds for quasi-twisted codes
description	New lower bounds on the minimum distance of quasi-twisted codes over finite fields are proposed. They are based on spectral analysis and eigenvalues of polynomial matrices. They generalize the Semenov-Trifonov and Zeh-Ling bounds in a manner similar to how the Roos and shift bounds extend the BCH and HT bounds for cyclic codes.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Ezerman, Martianus Frederic Ling, San Özkaya, Buket Tharnnukhroh, Jareena
format	Conference or Workshop Item
author	Ezerman, Martianus Frederic Ling, San Özkaya, Buket Tharnnukhroh, Jareena
author_sort	Ezerman, Martianus Frederic
title	Spectral bounds for quasi-twisted codes
title_short	Spectral bounds for quasi-twisted codes
title_full	Spectral bounds for quasi-twisted codes
title_fullStr	Spectral bounds for quasi-twisted codes
title_full_unstemmed	Spectral bounds for quasi-twisted codes
title_sort	spectral bounds for quasi-twisted codes
publishDate	2020
url	https://hdl.handle.net/10356/138705
_version_	1759858295487594496

Spectral bounds for quasi-twisted codes

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