Convolutional codes with cyclic structure

Heide Gluesing-Luerssen; Barbara Langfeld; Wiland Schmale

doi:10.1109/ISIT.2004.1365497

Convolutional codes with cyclic structure

Heide Gluesing-Luerssen
, Barbara Langfeld
, Wiland Schmale

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The impact of cyclicity for convolutional codes was studied. These codes play an important role in the algebraic theory of σ-cyclic submodule (σ-CCC) since each code can be written as a direct sum of minimal codes. The new concept of cyclicity is a sound generalization of cyclicity in the block code. The results show that the class of minimal CCC's contains many 'optimal'convolutional codes.

Original language	English
Title of host publication	Proceedings - 2004 IEEE International Symposium on Information Theory
Pages	457
Number of pages	1
DOIs	https://doi.org/10.1109/ISIT.2004.1365497
State	Published - 2004
Event	2004 IEEE International Symposium on Information Theory, ISIT 2004 - Chicago, IL, United States Duration: Jun 27 2004 → Jul 2 2004

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
ISSN (Print)	2157-8095

Conference

Conference	2004 IEEE International Symposium on Information Theory, ISIT 2004
Country/Territory	United States
City	Chicago, IL
Period	6/27/04 → 7/2/04

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

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10.1109/ISIT.2004.1365497

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title = "Convolutional codes with cyclic structure",

abstract = "The impact of cyclicity for convolutional codes was studied. These codes play an important role in the algebraic theory of σ-cyclic submodule (σ-CCC) since each code can be written as a direct sum of minimal codes. The new concept of cyclicity is a sound generalization of cyclicity in the block code. The results show that the class of minimal CCC's contains many 'optimal'convolutional codes.",

author = "Heide Gluesing-Luerssen and Barbara Langfeld and Wiland Schmale",

year = "2004",

doi = "10.1109/ISIT.2004.1365497",

language = "English",

isbn = "0780382803",

series = "IEEE International Symposium on Information Theory - Proceedings",

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booktitle = "Proceedings - 2004 IEEE International Symposium on Information Theory",

note = "2004 IEEE International Symposium on Information Theory, ISIT 2004 ; Conference date: 27-06-2004 Through 02-07-2004",

}

Gluesing-Luerssen, H, Langfeld, B & Schmale, W 2004, Convolutional codes with cyclic structure. in Proceedings - 2004 IEEE International Symposium on Information Theory. IEEE International Symposium on Information Theory - Proceedings, pp. 457, 2004 IEEE International Symposium on Information Theory, ISIT 2004, Chicago, IL, United States, 6/27/04. https://doi.org/10.1109/ISIT.2004.1365497

TY - GEN

T1 - Convolutional codes with cyclic structure

AU - Gluesing-Luerssen, Heide

AU - Langfeld, Barbara

AU - Schmale, Wiland

PY - 2004

Y1 - 2004

N2 - The impact of cyclicity for convolutional codes was studied. These codes play an important role in the algebraic theory of σ-cyclic submodule (σ-CCC) since each code can be written as a direct sum of minimal codes. The new concept of cyclicity is a sound generalization of cyclicity in the block code. The results show that the class of minimal CCC's contains many 'optimal'convolutional codes.

AB - The impact of cyclicity for convolutional codes was studied. These codes play an important role in the algebraic theory of σ-cyclic submodule (σ-CCC) since each code can be written as a direct sum of minimal codes. The new concept of cyclicity is a sound generalization of cyclicity in the block code. The results show that the class of minimal CCC's contains many 'optimal'convolutional codes.

UR - https://www.scopus.com/pages/publications/5044248653

UR - https://www.scopus.com/pages/publications/5044248653#tab=citedBy

U2 - 10.1109/ISIT.2004.1365497

DO - 10.1109/ISIT.2004.1365497

M3 - Conference contribution

AN - SCOPUS:5044248653

SN - 0780382803

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 457

BT - Proceedings - 2004 IEEE International Symposium on Information Theory

T2 - 2004 IEEE International Symposium on Information Theory, ISIT 2004

Y2 - 27 June 2004 through 2 July 2004

ER -

Convolutional codes with cyclic structure

Abstract

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