Presentation 1993/5/24
On Branch Labels of Parallel Components of the L-section Minimal Trellis Diagrams for Binary Linear Block Codes
Tadao Kasami, Toyoo Takata, Toru Fujiwara, Yoshihisa Desaki, Shu Lin,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) We have shown that each section of the L-section minimal trellis diagram for a linear block code consists of structurally identical (except branch labels) parallel subgraphs without cross connections between them.These parallel subgraphs are called parallel components of the section.In this paper,the number of parallel components with the same branch labels for each section and the detailed structure of each parallel component up to branch labels are expressed in terms of the dimensions of specific linear codes related to the given code.As an example,the 8-section and 16- section minimal trellis diagrams for the second and third order Reed-Muller codes of length 64 are analyzed.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Linear Block Code / Trellis Diagram / Reed-Muller Code / Parallel Structure
Paper # IT93-5
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Committee IT
Conference Date 1993/5/24(1days)
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Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Branch Labels of Parallel Components of the L-section Minimal Trellis Diagrams for Binary Linear Block Codes
Sub Title (in English)
Keyword(1) Linear Block Code
Keyword(2) Trellis Diagram
Keyword(3) Reed-Muller Code
Keyword(4) Parallel Structure
1st Author's Name Tadao Kasami
1st Author's Affiliation Advanced Institute of Science and Technology,Nara()
2nd Author's Name Toyoo Takata
2nd Author's Affiliation Advanced Institute of Science and Technology,Nara
3rd Author's Name Toru Fujiwara
3rd Author's Affiliation Department of Information and Computer Sciences,Faculty of Engineering Science,Osaka University
4th Author's Name Yoshihisa Desaki
4th Author's Affiliation Department of Information and Computer Sciences,Faculty of Engineering Science,Osaka University
5th Author's Name Shu Lin
5th Author's Affiliation Department of Electrical Engineering,University of Hawaii at Manoa
Date 1993/5/24
Paper # IT93-5
Volume (vol) vol.93
Number (no) 63
Page pp.pp.-
#Pages 6
Date of Issue