On circulant involutory MDS matrices

DOI10.1007/s10623-018-0520-3zbMath1454.94122OpenAlexW2888073590MaRDI QIDQ1727341

Pierre Loidreau, Victor Cauchois

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1007/s10623-018-0520-3

zbMATH Keywords

MDS codesinvolutory matricesGabidulin codesdiffusion layers

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cryptography (94A60) Discrete mathematics in relation to computer science (68R99)

Related Items (5)

The construction of circulant matrices related to MDS matrices ⋮ A note on semi-orthogonal (G-matrix) and semi-involutory MDS matrices ⋮ Introducing a new connection between the entries of MDS matrices constructed by generalized Cauchy matrices in \(GF(2^q)\) ⋮ Construction of MDS matrices from generalized Feistel structures ⋮ The inverse of circulant matrices over \(\mathrm{GF}(2^m )\)

Uses Software

• LED

Cites Work

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• Theory of codes with maximum rank distance
• Construction of Recursive MDS Diffusion Layers from Gabidulin Codes
• Direct Construction of Recursive MDS Diffusion Layers Using Shortened BCH Codes
• Lightweight MDS Involution Matrices
• The LED Block Cipher
• On MDS codes via Cauchy matrices
• On generator matrices of MDS codes (Corresp.)
• Lightweight MDS Generalized Circulant Matrices
• On the Construction of Lightweight Circulant Involutory MDS Matrices
• The PHOTON Family of Lightweight Hash Functions

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