Relative Generalized Hamming weights of affine Cartesian codes
September 13, 2019 Β· Declared Dead Β· π Designs, Codes and Cryptography
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Authors
Mrinmoy Datta
arXiv ID
1909.06138
Category
cs.IT: Information Theory
Citations
5
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
We explicitly determine all the relative generalized Hamming weights of affine Cartesian codes using the notion of footprints and results from extremal combinatorics. This generalizes the previous works on the determination of relative generalized Hamming weights of Reed-Muller codes by Geil and Martin, as well as the determination of all the generalized Hamming weights of the affine Cartesian codes by Beelen and Datta.
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