The maximum number of minimal codewords in an [n,k]-code

We survey some upper and lower bounds on the function in the title, and make them explicit for n≤15 and 1≤k≤15. Exact values are given for cycle codes of graphs for 3≤n≤15 and 1≤k≤13.

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Main Authors:	Alahmadi, A., Aldred, R. E. L., de la Cruz, R., Solé, P., Thomassen, C.
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2013
Online Access:	https://hdl.handle.net/10356/99324 http://hdl.handle.net/10220/17375
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Institution:	Nanyang Technological University
Language:	English

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spelling	sg-ntu-dr.10356-993242020-03-07T12:37:12Z The maximum number of minimal codewords in an [n,k]-code Alahmadi, A. Aldred, R. E. L. de la Cruz, R. Solé, P. Thomassen, C. School of Physical and Mathematical Sciences We survey some upper and lower bounds on the function in the title, and make them explicit for n≤15 and 1≤k≤15. Exact values are given for cycle codes of graphs for 3≤n≤15 and 1≤k≤13. 2013-11-07T06:36:38Z 2019-12-06T20:05:56Z 2013-11-07T06:36:38Z 2019-12-06T20:05:56Z 2013 2013 Journal Article Alahmadi, A., Aldred, R., de la Cruz, R., Solé, P., & Thomassen, C. (2013). The maximum number of minimal codewords in an [n, k] -code. Discrete Mathematics, 313(15), 1569-1574. 0012-365X https://hdl.handle.net/10356/99324 http://hdl.handle.net/10220/17375 10.1016/j.disc.2013.03.023 en Discrete mathematics
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
description	We survey some upper and lower bounds on the function in the title, and make them explicit for n≤15 and 1≤k≤15. Exact values are given for cycle codes of graphs for 3≤n≤15 and 1≤k≤13.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Alahmadi, A. Aldred, R. E. L. de la Cruz, R. Solé, P. Thomassen, C.
format	Article
author	Alahmadi, A. Aldred, R. E. L. de la Cruz, R. Solé, P. Thomassen, C.
spellingShingle	Alahmadi, A. Aldred, R. E. L. de la Cruz, R. Solé, P. Thomassen, C. The maximum number of minimal codewords in an [n,k]-code
author_sort	Alahmadi, A.
title	The maximum number of minimal codewords in an [n,k]-code
title_short	The maximum number of minimal codewords in an [n,k]-code
title_full	The maximum number of minimal codewords in an [n,k]-code
title_fullStr	The maximum number of minimal codewords in an [n,k]-code
title_full_unstemmed	The maximum number of minimal codewords in an [n,k]-code
title_sort	maximum number of minimal codewords in an [n,k]-code
publishDate	2013
url	https://hdl.handle.net/10356/99324 http://hdl.handle.net/10220/17375
_version_	1681038706515902464

The maximum number of minimal codewords in an [n,k]-code

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