Further results on support weights of certain subcodes

Zihui Liu; Wende Chen; Zhimin Sun; Xiangyong Zeng

doi:10.1007/s10623-010-9442-4

Further results on support weights of certain subcodes

Zihui Liu^*, Wende Chen, Zhimin Sun, Xiangyong Zeng

^*Corresponding author for this work

School of Mathematics and Statistics

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

4 Citations (Scopus)

Abstract

The value function and finite projective geometry methods are effective tools to study support weights of subcodes. Some new results about support weights of a kind of subcodes are found by using the concept of the value function and finite projective geometry methods. The new results provide a way to construct a class of two-weight codes.

Original language	English
Pages (from-to)	119-129
Number of pages	11
Journal	Designs, Codes, and Cryptography
Volume	61
Issue number	2
DOIs	https://doi.org/10.1007/s10623-010-9442-4
Publication status	Published - Nov 2011

Keywords

Finite projective geometry methods
Generalized Hamming weight
Relative generalized Hamming weight
Two-weight code
Value function

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10.1007/s10623-010-9442-4

Cite this

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title = "Further results on support weights of certain subcodes",

abstract = "The value function and finite projective geometry methods are effective tools to study support weights of subcodes. Some new results about support weights of a kind of subcodes are found by using the concept of the value function and finite projective geometry methods. The new results provide a way to construct a class of two-weight codes.",

keywords = "Finite projective geometry methods, Generalized Hamming weight, Relative generalized Hamming weight, Two-weight code, Value function",

author = "Zihui Liu and Wende Chen and Zhimin Sun and Xiangyong Zeng",

year = "2011",

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AU - Chen, Wende

AU - Sun, Zhimin

AU - Zeng, Xiangyong

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AB - The value function and finite projective geometry methods are effective tools to study support weights of subcodes. Some new results about support weights of a kind of subcodes are found by using the concept of the value function and finite projective geometry methods. The new results provide a way to construct a class of two-weight codes.

KW - Finite projective geometry methods

KW - Generalized Hamming weight

KW - Relative generalized Hamming weight

KW - Two-weight code

KW - Value function

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M3 - Article

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Further results on support weights of certain subcodes

Abstract

Keywords

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