The generalization of some trellis properties of linear codes to group codes

Haibin Kan; Xuefei Li; Hong Shen

doi:10.1007/s11432-009-0096-7

The generalization of some trellis properties of linear codes to group codes

Haibin Kan
, Xuefei Li
, Hong Shen

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

Abstract

In this paper, we discuss some trellis properties for codes over a finite Abelian group, which are the generalization of the corresponding trellis properties for linear codes over a field. Also, we also investigate difficulties when we try to generalize a property of a tail-biting trellis for a linear code over a field to a group code.

Original language	English
Pages (from-to)	797-803
Number of pages	7
Journal	Science in China, Series F: Information Sciences
Volume	52
Issue number	5
DOIs	https://doi.org/10.1007/s11432-009-0096-7
Publication status	Published - May 2009
Externally published	Yes

Keywords

Atomic spans
Biproper p-bases
Minimal span form
Tail-biting trellises
Trellises

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10.1007/s11432-009-0096-7

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title = "The generalization of some trellis properties of linear codes to group codes",

abstract = "In this paper, we discuss some trellis properties for codes over a finite Abelian group, which are the generalization of the corresponding trellis properties for linear codes over a field. Also, we also investigate difficulties when we try to generalize a property of a tail-biting trellis for a linear code over a field to a group code.",

keywords = "Atomic spans, Biproper p-bases, Minimal span form, Tail-biting trellises, Trellises",

author = "Haibin Kan and Xuefei Li and Hong Shen",

note = "Funding Information: Received May 31, 2008; accepted October 5, 2008 doi: 10.1007/s11432-009-0096-7 †Corresponding author (email: [email protected]) Supported by the National Natural Science Foundation of China (No. 60772131), Shanghai Pujian Talent Program (No. 06PJ14009), Fox Ying Yung Education Foundation (No. 114401) and NCET{\textquoteright}08. The material in this paper was presented in part at the 6th International Conference Advanced Communication Technology, Korea, 2005",

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doi = "10.1007/s11432-009-0096-7",

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AU - Kan, Haibin

AU - Li, Xuefei

AU - Shen, Hong

N1 - Funding Information: Received May 31, 2008; accepted October 5, 2008 doi: 10.1007/s11432-009-0096-7 †Corresponding author (email: [email protected]) Supported by the National Natural Science Foundation of China (No. 60772131), Shanghai Pujian Talent Program (No. 06PJ14009), Fox Ying Yung Education Foundation (No. 114401) and NCET’08. The material in this paper was presented in part at the 6th International Conference Advanced Communication Technology, Korea, 2005

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N2 - In this paper, we discuss some trellis properties for codes over a finite Abelian group, which are the generalization of the corresponding trellis properties for linear codes over a field. Also, we also investigate difficulties when we try to generalize a property of a tail-biting trellis for a linear code over a field to a group code.

AB - In this paper, we discuss some trellis properties for codes over a finite Abelian group, which are the generalization of the corresponding trellis properties for linear codes over a field. Also, we also investigate difficulties when we try to generalize a property of a tail-biting trellis for a linear code over a field to a group code.

KW - Atomic spans

KW - Biproper p-bases

KW - Minimal span form

KW - Tail-biting trellises

KW - Trellises

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JO - Science in China, Series F: Information Sciences

JF - Science in China, Series F: Information Sciences

IS - 5

ER -

The generalization of some trellis properties of linear codes to group codes

Abstract

Keywords

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