On the relative generalized Hamming weights of linear codes and their subcodes
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Author(s)
Liu, Zihui
Wang, Jie
Wu, Xin-Wen
Griffith University Author(s)
Year published
2010
Metadata
Show full item recordAbstract
We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and develop a method using finite projective geometry. Making use of the equivalent definition and the projective-geometry method, all of the relative generalized Hamming weights of a 3-dimensional q-ary linear code and its subcodes will be determined.We first present an equivalent definition of relative generalized Hamming weights of a linear code and its subcodes, and develop a method using finite projective geometry. Making use of the equivalent definition and the projective-geometry method, all of the relative generalized Hamming weights of a 3-dimensional q-ary linear code and its subcodes will be determined.
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Journal Title
SIAM Journal on Discrete Mathematics
Volume
24
Issue
4
Copyright Statement
© 2010 SIAM. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
Subject
Pure mathematics
Theory of computation