Presentation 2017-03-09
Sphere packing bound and Gilbert-Varshamov bound for b-symbol read channels
Seunghoan Song, Toru Fujiwara,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) b-symbol read channel is a channel model proposed by Yaakobi et al. that b consecutive symbols are read at once. This channel model is generalization of symbol-pair read channel designed by Casssuto et al. Symbol-pair read channel is the the special case of b-symbol read channel where b = 2 and sphere packing bound, Gilbert-Varshamov (G-V) bound, and asymptotic G-V bound for symbol-pair read channel was proved by Cassuto et al. In thisarticle, we derive sphere packing bound, G-V bound, and asymptotic G-V bound for b-symbol read channel where b ≧ 1. As a result of the analysis of asymptotic b-symbol G-V bounds, the existence of b-symbol codes with strictly higher rates is shown as b becomes larger.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) symbol-pair read channel / b-symbol read channel / sphere packing bound / Gilbert-Varshamov (G-V) bound / asymptotic code bound
Paper # IT2016-107,ISEC2016-97,WBS2016-83
Date of Issue 2017-03-02 (IT, ISEC, WBS)

Conference Information
Committee ISEC / WBS / IT
Conference Date 2017/3/9(2days)
Place (in Japanese) (See Japanese page)
Place (in English) TOKAI University
Topics (in Japanese) (See Japanese page)
Topics (in English) joint meeting of IT, ISEC, and WBS
Chair Masahiro Mambo(Kanazawa Univ.) / Fumiaki Maehara(Waseda Univ.) / Masayoshi Ohashi(Fukuoka Univ.)
Vice Chair Kazuto Ogawa(NHK) / Atsushi Fujioka(Kanagawa Univ.) / Masanori Hamamura(Kochi Univ. of Tech.) / Fumie Ono(NICT) / Jun Muramatsu(NTT)
Secretary Kazuto Ogawa(Toshiba) / Atsushi Fujioka(Tohoku Univ.) / Masanori Hamamura(Tokyo City Univ.) / Fumie Ono(Mitsubishi Electric) / Jun Muramatsu(Wakayama Univ.)
Assistant Toshihiro Ohigashi(Tokai Univ.) / Yuuji Suga(IIJ) / Atsuo Inomata(Tokyo Denki Univ.) / Yusuke Kozawa(Tokyo Univ. of Science) / Akira Nakamura(Tokyo Univ. of Science) / Ryohei Nakamura(National Defense Academy) / Mitsugu Iwamoto(Univ. of Electro-Comm.)

Paper Information
Registration To Technical Committee on Information Security / Technical Committee on Wideband System / Technical Committee on Information Theory
Language ENG-JTITLE
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Sphere packing bound and Gilbert-Varshamov bound for b-symbol read channels
Sub Title (in English)
Keyword(1) symbol-pair read channel
Keyword(2) b-symbol read channel
Keyword(3) sphere packing bound
Keyword(4) Gilbert-Varshamov (G-V) bound
Keyword(5) asymptotic code bound
1st Author's Name Seunghoan Song
1st Author's Affiliation Osaka University(Osaka Univ.)
2nd Author's Name Toru Fujiwara
2nd Author's Affiliation Osaka University(Osaka Univ.)
Date 2017-03-09
Paper # IT2016-107,ISEC2016-97,WBS2016-83
Volume (vol) vol.116
Number (no) IT-504,ISEC-505,WBS-506
Page pp.pp.55-60(IT), pp.55-60(ISEC), pp.55-60(WBS),
#Pages 6
Date of Issue 2017-03-02 (IT, ISEC, WBS)