The characteristic generators for a group code

Haibin Kan; Xuefei Li; Hong Shen

doi:10.1093/ietfec/e89-a.5.1513

The characteristic generators for a group code

Haibin Kan, Xuefei Li, Hong Shen

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this letter, we discussed some properties of characteristic generators for a finite Abelian group code, proved that any two characteristic generators can not start (end) at the same position and have the same order of the starting (ending) components simultaneously, and that the number of all characteristic generators can be directly computed from the group code itself. These properties are exactly the generalization of the corresponding trellis properties of a linear code over a field.

Original language	English
Pages (from-to)	1513-1517
Number of pages	5
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E89-A
Issue number	5
DOIs	https://doi.org/10.1093/ietfec/e89-a.5.1513
Publication status	Published - May 2006
Externally published	Yes

Keywords

Basic spans
Biproper p-basis
Characteristic generators
Conventional trellises
Tail-biting trellises

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10.1093/ietfec/e89-a.5.1513

Cite this

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The characteristic generators for a group code

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Keywords

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