HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Duals of linearized Reed-Solomon codes

Xavier Caruso 1, 2 Amaury Durand 1, 2
2 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We give a description of the duals of linearized Reed-Solomon codes in terms of codes obtained by taking residues of Ore rational functions. Our construction shows in particular that, under some assumptions on the base field, the class of linearized Reed-Solomon codes is stable under duality. As a byproduct of our work, we develop a theory of residues in the Ore setting.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Contributor : Xavier Caruso Connect in order to contact the contributor
Submitted on : Friday, October 22, 2021 - 1:56:11 PM
Last modification on : Wednesday, February 2, 2022 - 3:54:17 PM
Long-term archiving on: : Sunday, January 23, 2022 - 8:01:47 PM


Files produced by the author(s)


  • HAL Id : hal-03395402, version 1
  • ARXIV : 2110.12675



Xavier Caruso, Amaury Durand. Duals of linearized Reed-Solomon codes. 2021. ⟨hal-03395402⟩



Record views


Files downloads