New advances in permutation decoding of first-order Reed-Muller codes
From MaRDI portal
Publication:2701051
DOI10.1016/j.ffa.2023.102182OpenAlexW4322765034MaRDI QIDQ2701051
José Joaquín Bernal, Juan Jacobo Simón
Publication date: 27 April 2023
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.05189
Linear codes (general theory) (94B05) Other types of codes (94B60) Cyclic codes (94B15) Decoding (94B35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reed-Muller codes and permutation decoding
- Partial permutation decoding for the first-order Reed-Muller codes
- Partial permutation decoding for codes from finite planes
- On coverings
- Partial permutation decoding for binary linear and \(\mathbb Z_4\)-linear Hadamard codes
- PD-sets for binary RM-codes and the codes related to the Klein quadric and to the Schubert variety of \(\mathrm{PG}(5,2)\)
- Information sets and partial permutation decoding for codes from finite geometries
- Minimal permutation sets for decoding the binary Golay codes (Corresp.)
- Information Sets From Defining Sets for Reed–Muller Codes of First and Second Order
- Partial Permutation Decoding for Abelian Codes
- Permutation Decoding of Systematic Codes
