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A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with Preparata parameters

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Publication:1802186
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DOI10.1007/BF01388407zbMath0770.94005MaRDI QIDQ1802186

L. M. G. M. Tolhuizen, Andries E. Brouwer

Publication date: 21 July 1993

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)



Mathematics Subject Classification ID

Linear codes (general theory) (94B05)


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An infinite class of counterexamples to a conjecture concerning nonlinear resilient functions, Notes on APN functions, semibiplanes and dimensional dual hyperovals, New ring-linear codes from dualization in projective Hjelmslev geometries, Almost perfect and planar functions, Maximal arcs in projective three-spaces and double-error-correcting cyclic codes, A proof of the Welch and Niho conjectures on cross-correlations of binary \(m\)-sequences, Crooked binomials, Zero-Sum Distinguishers for Iterated Permutations and Application to Keccak-f and Hamsi-256, On cryptographic propagation criteria for Boolean functions, Codes, graphs, and schemes from nonlinear functions



Cites Work

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  • Nearly perfect binary codes
  • An updated table of minimum-distance bounds for binary linear codes
  • The linear programming bound for binary linear codes
  • A class of optimum nonlinear double-error-correcting codes
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