Presentation 2006-05-23
Local Weight Distribution of the (256, 93) Third-Order Binary Reed-Muller Code(HISC2006)
Kenji Yasunaga, Toru Fujiwara, Tadao Kasami,
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Abstract(in English) Local weight distribution is the weight distribution of minimal codewords in linear codes. We give the local weight distribution of the (256,93) third-order binary Reed-Muller code. We modify a coset partitioning algorithm by using a binary shift invariance property for Reed-Muller codes. This property reduces by about 1/256 the time complexity of the previous method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Local weight distribution / minimal codeword / Reed-Muller code / binary shift
Paper # IT2006-6
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Committee IT
Conference Date 2006/5/16(1days)
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Registration To Information Theory (IT)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Local Weight Distribution of the (256, 93) Third-Order Binary Reed-Muller Code(HISC2006)
Sub Title (in English)
Keyword(1) Local weight distribution
Keyword(2) minimal codeword
Keyword(3) Reed-Muller code
Keyword(4) binary shift
1st Author's Name Kenji Yasunaga
1st Author's Affiliation Graduate School of Information Science and Technology, Osaka University()
2nd Author's Name Toru Fujiwara
2nd Author's Affiliation Graduate School of Information Science and Technology, Osaka University
3rd Author's Name Tadao Kasami
3rd Author's Affiliation Nara Institute of Science and Technology
Date 2006-05-23
Paper # IT2006-6
Volume (vol) vol.106
Number (no) 58
Page pp.pp.-
#Pages 6
Date of Issue