Nonlinear p-ary sequences

Low correlation p-ary sequences with p an odd prime are constructed. They are obtained as Gray images of codewords of a subcode of the generalized Kerdock codes over the ring ℤ p 2. They can be shown to be nonlinear in some precise sense.

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Main Authors: Ling, San, Sole, Patrick
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/96417
http://hdl.handle.net/10220/9836
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-964172023-02-28T19:22:46Z Nonlinear p-ary sequences Ling, San Sole, Patrick School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Algebra Low correlation p-ary sequences with p an odd prime are constructed. They are obtained as Gray images of codewords of a subcode of the generalized Kerdock codes over the ring ℤ p 2. They can be shown to be nonlinear in some precise sense. Accepted version 2013-04-18T08:10:45Z 2019-12-06T19:30:23Z 2013-04-18T08:10:45Z 2019-12-06T19:30:23Z 2003 2003 Journal Article Ling, S., & Solé, P. (2003). Nonlinear p-ary Sequences. Applicable Algebra in Engineering, Communication and Computing, 14(2), 117-125. https://hdl.handle.net/10356/96417 http://hdl.handle.net/10220/9836 10.1007/s00200-003-0130-8 en Applicable algebra in engineering, communication and computing © 2003 Springer-Verlag. This is the author created version of a work that has been peer reviewed and accepted for publication by Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag. 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/s00200-003-0130-8]. 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::Algebra
spellingShingle DRNTU::Science::Mathematics::Algebra
Ling, San
Sole, Patrick
Nonlinear p-ary sequences
description Low correlation p-ary sequences with p an odd prime are constructed. They are obtained as Gray images of codewords of a subcode of the generalized Kerdock codes over the ring ℤ p 2. They can be shown to be nonlinear in some precise sense.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ling, San
Sole, Patrick
format Article
author Ling, San
Sole, Patrick
author_sort Ling, San
title Nonlinear p-ary sequences
title_short Nonlinear p-ary sequences
title_full Nonlinear p-ary sequences
title_fullStr Nonlinear p-ary sequences
title_full_unstemmed Nonlinear p-ary sequences
title_sort nonlinear p-ary sequences
publishDate 2013
url https://hdl.handle.net/10356/96417
http://hdl.handle.net/10220/9836
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