Application of skew cyclic codes
type: Distribution
access URL: https://theses.hal.science/tel-00866858
format: HTML
issued: 2026-05-09T14:06:55.930412
modified: 2026-05-09T14:06:55.910530

Application of skew cyclic codes
type: Dataset
contact point: Organization
  fn: CCSD
keyword: theses
keyword: infoinfo-ohcomputer-science-csother-csoh
keyword: infoeu-reposemanticsdoctoralthesis
keyword: codes-quasi-cycliques
keyword: anneau-des-polynomes-non-commutatifs
keyword: codes-cycliques-tordus
keyword: quantum-computing
keyword: skew-cyclic-codes
keyword: informatique-quantique
keyword: quasi-cyclic-codes
keyword: skew-polynomial-rings
landing page: https://theses.hal.science/tel-00866858
description: The topic of the thesis is the study of skew cyclic codes, with application to Quantum Computing and quasi-cyclic codes. Classical cyclic codes have a natural structure of ideals in a polynomial ring. This was generalized by Ulmer in 2008 to skew polynomial rings, a class of non commutative rings introduced by Ore in 1933. The latter codes are not classically cyclic if the alphabet ring admits a non trivial automorphism. In this work is explored the cases of the finite field of order four and of a product ring of two copies of the finite field of order two.
identifier: NNT: 2013NICE4070
issued: 2026-05-09T14:06:55.924333
language: fr
modified: 2026-05-09T14:06:55.924337

test_moissonnage_selune
type: Agent