Value functions and two classes of binary codes

Zihui Liu

doi:10.1016/j.disc.2020.112261

Value functions and two classes of binary codes

Zihui Liu

School of Mathematics and Statistics

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

1 Citation (Scopus)

Abstract

We state that the minimum and the maximum support weight of subcodes of a code are useful in several aspects. Based on the above findings, we will determine part of the above mentioned parameters for two classes of binary codes. We also present the separation property and calculate the trellis complexity of a class of binary codes.

Original language	English
Article number	112261
Journal	Discrete Mathematics
Volume	344
Issue number	3
DOIs	https://doi.org/10.1016/j.disc.2020.112261
Publication status	Published - Mar 2021

Keywords

Fullrank
Separation
Support weight
Trellis complexity
Value function

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10.1016/j.disc.2020.112261

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title = "Value functions and two classes of binary codes",

abstract = "We state that the minimum and the maximum support weight of subcodes of a code are useful in several aspects. Based on the above findings, we will determine part of the above mentioned parameters for two classes of binary codes. We also present the separation property and calculate the trellis complexity of a class of binary codes.",

keywords = "Fullrank, Separation, Support weight, Trellis complexity, Value function",

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AB - We state that the minimum and the maximum support weight of subcodes of a code are useful in several aspects. Based on the above findings, we will determine part of the above mentioned parameters for two classes of binary codes. We also present the separation property and calculate the trellis complexity of a class of binary codes.

KW - Fullrank

KW - Separation

KW - Support weight

KW - Trellis complexity

KW - Value function

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DO - 10.1016/j.disc.2020.112261

M3 - Article

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JO - Discrete Mathematics

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ER -

Value functions and two classes of binary codes

Abstract

Keywords

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