On the relative generalized Hamming weights of linear codes and their subcodes

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Liu, Zihui
Wang, Jie
Wu, Xin-Wen
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Prasad Tetali (Editor in Chief)

Date
2010
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Abstract

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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SIAM Journal on Discrete Mathematics

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24

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4

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© 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.

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Pure mathematics

Theory of computation

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