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Generalized Hamming weights of three classes of linear codes
December 30, 2016 Β· Declared Dead Β· π Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Gaopeng Jian
arXiv ID
1612.09390
Category
cs.IT: Information Theory
Citations
37
Venue
Finite Fields Their Appl.
Last Checked
6 months ago
Abstract
The generalized Hamming weights of a linear code have been extensively studied since Wei first use them to characterize the cryptography performance of a linear code over the wire-tap channel of type II. In this paper, we investigate the generalized Hamming weights of three classes of linear codes constructed through defining sets and determine them partly for some cases. Particularly, in the semiprimitive case we solve an problem left in Yang et al. (IEEE Trans. Inf. Theory 61(9): 4905--4913, 2015).
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