Fractional decoding and the Rosenbloom-Tsfasman metric
type: Item
instance of: scholarly article
title: Fractional decoding and the Rosenbloom-Tsfasman metric
author: Welington Santos
published in: Advances in Mathematics of Communications
publication date: 2024-12-03T00:00:00Z
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B35
Mathematics Subject Classification ID: 94B65
Mathematics Subject Classification ID: 68P20
zbMATH DE Number: 7952461
zbMATH Keywords: distributed storage system
zbMATH Keywords: array codes
zbMATH Keywords: fractional decoding
zbMATH Keywords: Rosenbloom-Tsfasman metric
zbMATH Keywords: probabilistic decoding
MaRDI profile type: Publication
cites work: Bounds on ordered codes and orthogonal arrays
cites work: Codes with a poset metric
cites work: Network Coding for Distributed Storage Systems
cites work: Q4551004
cites work: Maximum distance codes in Mat\(_{n,s}(\mathbb Z_k)\) with a non-Hamming metric and uniform distributions
cites work: Maximum distance separable codes in the \(\rho\) metric over arbitrary alphabets
cites work: Poset Codes: Partial Orders, Metrics and Coding Theory
cites work: List decoding reed-solomon, algebraic-geometric, and gabidulin subcodes up to the singleton bound
cites work: Bursts in \(m\)-metric array codes
cites work: Q5360862
cites work: Fractional decoding of \(r\)-Hermitian codes
cites work: A combinatorial problem for vector spaces over finite fields
cites work: Q4676150
cites work: On Rosenbloom and Tsfasman's generalization of the Hamming space
cites work: A class of Sudan-decodable codes
cites work: Codes for the \(m\)-metric
cites work: Polynomial Invariant Theory and Shape Enumerator of Self-Dual Codes in the NRT-Metric
cites work: Collaborative Decoding of Interleaved Reed–Solomon Codes and Concatenated Code Designs
cites work: MacWilliams identities for weight enumerators with respect to the RT metric
cites work: Q3621168
cites work: The complete weight enumerator for codes over \(\mathcal M_{n\times s}(R)\)
cites work: Q4328693
cites work: Niederreiter-Rosenbloom-Tsfasman LCD codes
cites work: BCH Codes for the Rosenbloom–Tsfasman Metric
DOI: 10.3934/AMC.2023061
description: scientific article; zbMATH DE number 7952461