Presentation 2012-03-02
A Note on Cyclic-Equivalent Codewords for Constant-Weight Codes from Cyclic Difference Sets
Takayasu KAIDA, Junru ZHENG,
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Abstract(in English) We proposed a method for constructing constant-weight and multi-valued code from the cyclic difference sets by generalization of the method in binary case proposed by N.Li, X.Zeng and L.Hu in 2008. In this paper we give some properties about sets of such codewords and it is shown that a set of constant weight sequences over Z_5 with length 21 from the (21,5,1)-cyclic difference set have almost highest linear complexities and good profiles of all sequences' linear complexities. It is pointed out that this set also has good value distributions and almost highest linear complexities by a numerical example over Z_5 with length 21. And it is shown that each elements except zero appear same times in codes by our proposed method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) q-ary const ant-weight code / cyclic difference set / value distribution / linear complexity / periodic sequence / pseudorandom sequence
Paper # IT2011-84,ISEC2011-111,WBS2011-85
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Committee ISEC
Conference Date 2012/2/23(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Note on Cyclic-Equivalent Codewords for Constant-Weight Codes from Cyclic Difference Sets
Sub Title (in English)
Keyword(1) q-ary const ant-weight code
Keyword(2) cyclic difference set
Keyword(3) value distribution
Keyword(4) linear complexity
Keyword(5) periodic sequence
Keyword(6) pseudorandom sequence
1st Author's Name Takayasu KAIDA
1st Author's Affiliation Department of Information and Computer Sciences, Faculty of Humanity-Oriented Science and Engineering, Kinki University()
2nd Author's Name Junru ZHENG
2nd Author's Affiliation Department of Human Development, Faculty of Human Sciences, Kyushu Women's University
Date 2012-03-02
Paper # IT2011-84,ISEC2011-111,WBS2011-85
Volume (vol) vol.111
Number (no) 455
Page pp.pp.-
#Pages 4
Date of Issue