The sextuply shortened binary Golay code is optimal
type: Item
instance of: scholarly article
title: The sextuply shortened binary Golay code is optimal
zbMATH Open document ID: 1421.94114
author: Patric R. J. Östergård
published in: Designs, Codes and Cryptography
publication date: 2019-02-20T00:00:00Z
full work available at URL: https://aaltodoc.aalto.fi/handle/123456789/33872
Mathematics Subject Classification ID: 94B25
Mathematics Subject Classification ID: 94B65
Mathematics Subject Classification ID: 90C27
zbMATH DE Number: 7026752
zbMATH Keywords: classification
zbMATH Keywords: clique
zbMATH Keywords: double counting
zbMATH Keywords: error-correcting code
zbMATH Keywords: golay code
describes a project that uses: nauty
describes a project that uses: Traces
describes a project that uses: Cliquer
MaRDI profile type: Publication
OpenAlex ID: W2885777845
cites work: A table of upper bounds for binary codes
cites work: Bounds for binary codes of length less than 25
cites work: Q4119093
cites work: Unrestricted codes with the Golay parameters are unique
cites work: Semidefinite Code Bounds Based on Quadruple Distances
cites work: Error Detecting and Error Correcting Codes
cites work: On upper bounds for unrestricted binary-error-correcting codes
cites work: Classification algorithms for codes and designs
cites work: Improved Semidefinite Programming Bound on Sizes of Codes
cites work: On Optimal Binary One-Error-Correcting Codes of Lengths $2^{m}-4$ and $2^{m}-3$
cites work: Q4146667
cites work: Isomorph-Free Exhaustive Generation
cites work: Practical graph isomorphism. II.
cites work: A fast algorithm for the maximum clique problem
cites work: On the Size of Optimal Three-Error-Correcting Binary Codes of Length 16
cites work: On optimal binary codes with unbalanced coordinates
cites work: The Perfect Binary One-Error-Correcting Codes of Length <formula formulatype="inline"><tex Notation="TeX">$15$</tex></formula>: Part I—Classification
cites work: New Code Upper Bounds From the Terwilliger Algebra and Semidefinite Programming
cites work: A Mathematical Theory of Communication
DOI: 10.1007/S10623-018-0532-Z
description: scientific article; zbMATH DE number 7026752