Presentation 2001/3/16
A note on a lower bound for generalized Hamming weights
Tomoharu Shibuya, Kohichi Sakaniwa,
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Abstract(in English) A lower bound for the generalized Hamming weight of linear codes is proposed. The proposed bound is a generalization of the bound we previously presented and gives good estimate for generalized Hamming weight of Reed-Muller, some one point algebraic geometry, and arbitrary cyclic codes. Moreover the proposed bound contains the BCH bound as its special case. The relation between the proposed bound and conventional bounds is also investigated.
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Keyword(in English) generalized Hamming weight / well-behaving / cyclic codes / generalized Griesmer bound / BCH bound
Paper # IT2000-76,ISEC2000-130,SST2000-160,ITS2000-85
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Committee ISEC
Conference Date 2001/3/16(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A note on a lower bound for generalized Hamming weights
Sub Title (in English)
Keyword(1) generalized Hamming weight
Keyword(2) well-behaving
Keyword(3) cyclic codes
Keyword(4) generalized Griesmer bound
Keyword(5) BCH bound
1st Author's Name Tomoharu Shibuya
1st Author's Affiliation Dept. of Communication and Integrated Systems, Tokyo Institute of Technology()
2nd Author's Name Kohichi Sakaniwa
2nd Author's Affiliation Dept. of Communication and Integrated Systems, Tokyo Institute of Technology
Date 2001/3/16
Paper # IT2000-76,ISEC2000-130,SST2000-160,ITS2000-85
Volume (vol) vol.100
Number (no) 692
Page pp.pp.-
#Pages 8
Date of Issue