Further results on the covering radii of the Reed-Muller codes
type: Item
instance of: scholarly article
title: Further results on the covering radii of the Reed-Muller codes
zbMATH Open document ID: 0770.94007
DOI: 10.1007/BF01388415
published in: Designs, Codes and Cryptography
publication date: 1993-09-13T00:00:00Z
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 202957
zbMATH Keywords: \(r\)th order Reed-Muller code
zbMATH Keywords: covering radius
zbMATH Keywords: upper bound
author: Xiang-Dong Hou
MaRDI profile type: Publication
cites work: Weight distributions of the cosets of the (32,6) Reed-Muller code
cites work: Covering radius---Survey and recent results
cites work: On the covering radius of binary codes (Corresp.)
cites work: Some inequalities about the covering radius of Reed-Muller codes
cites work: Some results on the covering radii of Reed-Muller codes
cites work: Q4038759
cites work: The Covering Radius of the $(m - 3)$rd Order Reed Muller Codes and a Lower Bound on the $(m - 4)$th Order Reed Muller Codes
cites work: The covering radius of the (128,8) Reed-Muller code is 56 (Corresp.)
cites work: The covering radius of the&lt;tex&gt;(2^{15}, 16)&lt;/tex&gt;Reed-Muller code is at least 16276
cites work: On ``bent'' functions
cites work: The second order Reed-Muller code of length 64 has covering radius 18 (Corresp.)
full work available at URL: https://doi.org/10.1007/bf01388415
OpenAlex ID: W1979853813
description: scientific article; zbMATH DE number 202957