On the constructions of constant-composition codes from perfect nonlinear functions

A new construction of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself is presented, which provides a kind of unified constructions of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself. It is proved that the new c...

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Main Authors:	Li, Chao, Li, Qiang, Ling, San
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2013
Subjects:	DRNTU::Science::Mathematics::Applied mathematics
Online Access:	https://hdl.handle.net/10356/95414 http://hdl.handle.net/10220/9388
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-95414
record_format	dspace
spelling	sg-ntu-dr.10356-954142023-02-28T19:36:42Z On the constructions of constant-composition codes from perfect nonlinear functions Li, Chao Li, Qiang Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Applied mathematics A new construction of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself is presented, which provides a kind of unified constructions of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself. It is proved that the new constant-composition codes are optimal with respect to the Luo-Fu-Vinck-Chen bound, when m is an odd positive integer greater than 1. Finally, we point out that two constructions of constant-composition codes, proposed by Ding Cunsheng et al. in 2005, are equivalent to two special types of the new constant-composition codes. Accepted version 2013-03-13T00:52:03Z 2019-12-06T19:14:22Z 2013-03-13T00:52:03Z 2019-12-06T19:14:22Z 2009 2009 Journal Article Li, C., Li, Q., & Ling, S. (2009). On the constructions of constant-composition codes from perfect nonlinear functions. Science in China Series F: Information Sciences, 52(6), 964-973. https://hdl.handle.net/10356/95414 http://hdl.handle.net/10220/9388 10.1007/s11432-009-0110-0 en Science in China series F: information sciences © 2009 Science in China Press and Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Science in China Series F: Information Sciences, Science in China Press and Springer. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s11432-009-0110-0]. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	DRNTU::Science::Mathematics::Applied mathematics
spellingShingle	DRNTU::Science::Mathematics::Applied mathematics Li, Chao Li, Qiang Ling, San On the constructions of constant-composition codes from perfect nonlinear functions
description	A new construction of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself is presented, which provides a kind of unified constructions of constant-composition codes based on all known perfect nonlinear functions from Fqm to itself. It is proved that the new constant-composition codes are optimal with respect to the Luo-Fu-Vinck-Chen bound, when m is an odd positive integer greater than 1. Finally, we point out that two constructions of constant-composition codes, proposed by Ding Cunsheng et al. in 2005, are equivalent to two special types of the new constant-composition codes.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Li, Chao Li, Qiang Ling, San
format	Article
author	Li, Chao Li, Qiang Ling, San
author_sort	Li, Chao
title	On the constructions of constant-composition codes from perfect nonlinear functions
title_short	On the constructions of constant-composition codes from perfect nonlinear functions
title_full	On the constructions of constant-composition codes from perfect nonlinear functions
title_fullStr	On the constructions of constant-composition codes from perfect nonlinear functions
title_full_unstemmed	On the constructions of constant-composition codes from perfect nonlinear functions
title_sort	on the constructions of constant-composition codes from perfect nonlinear functions
publishDate	2013
url	https://hdl.handle.net/10356/95414 http://hdl.handle.net/10220/9388
_version_	1759853297113497600

On the constructions of constant-composition codes from perfect nonlinear functions

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