Further Results on the Relative Generalized Hamming Weight

Zihui Liu; Yao Wei

doi:10.1109/TIT.2021.3078064

Further Results on the Relative Generalized Hamming Weight

Zihui Liu^*, Yao Wei

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

4 Citations (Scopus)

Abstract

Based on the applications to the wire-tap channel and bounds on the relative generalized Hamming weight, we will introduce optimal codes of type mathcal {I} and type mathcal {II}. We will give some necessary conditions and the explicit construction for a linear code mathcal {C} to be optimal of type mathcal {I} and mathcal {II} with respect to a subcode mathcal {C}_{1}. We will also present a new bound on two different parameters of the relative generalized Hamming weight.

Original language	English
Pages (from-to)	6344-6355
Number of pages	12
Journal	IEEE Transactions on Information Theory
Volume	67
Issue number	10
DOIs	https://doi.org/10.1109/TIT.2021.3078064
Publication status	Published - Oct 2021

Keywords

Relative generalized Hamming weight
relative subcode
relative subspace
value assignment
wire-tap channel

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Liu, Z., & Wei, Y. (2021). Further Results on the Relative Generalized Hamming Weight. IEEE Transactions on Information Theory, 67(10), 6344-6355. https://doi.org/10.1109/TIT.2021.3078064

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Further Results on the Relative Generalized Hamming Weight

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Keywords

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