The main conjecture for MDS codes

DOI10.1007/3-540-60693-9_7zbMath1383.94056OpenAlexW1514953677MaRDI QIDQ4608496

J. W. P. Hirschfeld

Publication date: 21 March 2018

Published in: Cryptography and Coding (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-60693-9_7

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (6)

An algorithm for counting arcs in higher-dimensional projective space ⋮ CUBE Cipher: A Family of Quasi-Involutive Block Ciphers Easy to Mask ⋮ Cryptographically significant MDS matrices based on circulant and circulant-like matrices for lightweight applications ⋮ Strong forms of orthogonality for sets of hypercubes ⋮ Existence of canonically inherited arcs in Moulton planes of odd order ⋮ Types of superregular matrices and the number of n‐arcs and complete n‐arcs in PG (r, q)

Cites Work

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• M.D.S. codes and arcs in \(\mathrm{PG}(n,q)\) with \(q\) even: an improvement of the bounds of Bruen, Thas, and Blokhuis
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• The automorphism group of a complete (q − 1)‐arc in PG(2,q)
• On the size of arcs in projective spaces

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