Codes from symmetric polynomials

DOI10.1007/s10623-022-01123-2OpenAlexW4304142904WikidataQ114849603 ScholiaQ114849603MaRDI QIDQ2692950

Mrinmoy Datta, Trygve Johnsen

Publication date: 17 March 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01930

zbMATH Keywords

symmetric polynomialscodesdistinguished points

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Linear codes (general theory) (94B05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Weight enumeration of codes from finite spaces
• The minimum weight of the Grassmann codes C(k,n)
• Generalized Hamming weights of affine Cartesian codes
• Linear codes associated to skew-symmetric determinantal varieties
• Generalized Hamming weights for linear codes
• The weight hierarchy of higher dimensional Hermitian codes
• Generalized Hamming weights of q-ary Reed-Muller codes
• Generalized Reed-Muller codes
• A proof of Sørensen’s conjecture on Hermitian surfaces

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