On the covering radius of the third order Reed-Muller code \(\mathrm{RM}(3, 7)\)
type: Item
instance of: scholarly article
title: On the covering radius of the third order Reed-Muller code \(\mathrm{RM}(3, 7)\)
zbMATH Open document ID: 1400.94197
author: Qichun Wang
author: Chik How Tan
author: Theo Fanuela Prabowo
published in: Designs, Codes and Cryptography
publication date: 2018-01-26T00:00:00Z
Mathematics Subject Classification ID: 94B75
Mathematics Subject Classification ID: 94B27
Mathematics Subject Classification ID: 94A60
zbMATH DE Number: 6830014
zbMATH Keywords: Reed-Muller code
zbMATH Keywords: covering radius
zbMATH Keywords: 2-resilient Boolean functions
zbMATH Keywords: third-order nonlinearity
MaRDI profile type: Publication
full work available at URL: s10623-017-0329-5
OpenAlex ID: W2583343713
cites work: Weight distributions of the cosets of the (32,6) Reed-Muller code
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cites work: The second order Reed-Muller code of length 64 has covering radius 18 (Corresp.)
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cites work: Search for Boolean Functions With Excellent Profiles in the Rotation Symmetric Class
cites work: Q4736423
cites work: A Classification of the Cosets of the Reed-Muller Code R (1, 6)
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: Correlation-immunity of nonlinear combining functions for cryptographic applications (Corresp.)
cites work: New bounds on the covering radius of the second order Reed-Muller code of length 128
DOI: 10.1007/S10623-017-0329-5
description: scientific article; zbMATH DE number 6830014