Relative Generalized Hamming weights of affine Cartesian codes

September 13, 2019 Β· Declared Dead Β· πŸ› 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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