Good linear codes from polynomial evaluations

In the present paper, we generalize the ideas of code constructions from our previous papers . It turns out that the codes in the previous papers can be viewed as special cases of those in this paper. Moreover, our constructions produce some good codes in terms of their parameters. In particular, so...

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Main Authors: Ding, Yang, Jin, Lingfei, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/102717
http://hdl.handle.net/10220/16472
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1027172020-03-07T12:34:54Z Good linear codes from polynomial evaluations Ding, Yang Jin, Lingfei Xing, Chaoping School of Physical and Mathematical Sciences In the present paper, we generalize the ideas of code constructions from our previous papers . It turns out that the codes in the previous papers can be viewed as special cases of those in this paper. Moreover, our constructions produce some good codes in terms of their parameters. In particular, some best-known codes can be obtained through our methods. Furthermore, our constructions are explicit and the codes can be easily implemented as shown in the tables of Appendix. Besides, one new code, i.e., a 4-ary [64,15,31]-linear code, is found through our constructions. 2013-10-14T05:57:58Z 2019-12-06T20:59:31Z 2013-10-14T05:57:58Z 2019-12-06T20:59:31Z 2012 2012 Journal Article Ding, Y., Jin, L., & Xing, C. (2012). Good Linear Codes from Polynomial Evaluations. IEEE Transactions on Communications, 60(2), 357-363. https://hdl.handle.net/10356/102717 http://hdl.handle.net/10220/16472 10.1109/TCOMM.2012.010512.100656 en IEEE transactions on communications
institution Nanyang Technological University
building NTU Library
country Singapore
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language English
description In the present paper, we generalize the ideas of code constructions from our previous papers . It turns out that the codes in the previous papers can be viewed as special cases of those in this paper. Moreover, our constructions produce some good codes in terms of their parameters. In particular, some best-known codes can be obtained through our methods. Furthermore, our constructions are explicit and the codes can be easily implemented as shown in the tables of Appendix. Besides, one new code, i.e., a 4-ary [64,15,31]-linear code, is found through our constructions.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ding, Yang
Jin, Lingfei
Xing, Chaoping
format Article
author Ding, Yang
Jin, Lingfei
Xing, Chaoping
spellingShingle Ding, Yang
Jin, Lingfei
Xing, Chaoping
Good linear codes from polynomial evaluations
author_sort Ding, Yang
title Good linear codes from polynomial evaluations
title_short Good linear codes from polynomial evaluations
title_full Good linear codes from polynomial evaluations
title_fullStr Good linear codes from polynomial evaluations
title_full_unstemmed Good linear codes from polynomial evaluations
title_sort good linear codes from polynomial evaluations
publishDate 2013
url https://hdl.handle.net/10356/102717
http://hdl.handle.net/10220/16472
_version_ 1681036834635776000