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The second generalized Hamming weight of some evaluation codes arising from a projective torus

  • Published:2018-07 Issue: Volume:52 Page:370-394
  • ISSN:1071-5797
  • Container-title:Finite Fields and Their Applications
  • language:en
  • Short-container-title:Finite Fields and Their Applications

Author:

González Sarabia Manuel,Camps Eduardo,Sarmiento Eliseo,Villarreal Rafael H.

Funder

COFAA–IPN

SNI–SEP

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference45 articles.

1. On generalized Hamming weights for Galois ring linear codes;Ashikhmin;Des. Codes Cryptogr.,1998

2. The Horace method for error-correcting codes;Ballico;Appl. Algebra Eng. Commun. Comput.,2006

3. On the number of solutions of polynomial systems;Boguslavsky;Finite Fields Appl.,1997

4. New lower bounds on the generalized Hamming weights of AG codes;Bras-Amorós;IEEE Trans. Inf. Theory,2014

5. On the second Hamming weight of some Reed–Muller type codes;Carvalho;Finite Fields Appl.,2013

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1. Further results on higher weights of codes over finite rings;Discrete Mathematics;2022-05

2. Generalized Hamming weights of toric codes over hypersimplices and squarefree affine evaluation codes;Advances in Mathematics of Communications;2021

3. Evaluation codes and their basic parameters;Designs, Codes and Cryptography;2020-11-19

4. On the generalized Hamming weights of certain Reed–Muller-type codes;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2020-03-01

5. Generalized minimum distance functions and algebraic invariants of Geramita ideals;Advances in Applied Mathematics;2020-01
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