On the direct construction of recursive MDS matrices

DOI10.1007/S10623-016-0233-4zbMath1402.94057OpenAlexW2444229672MaRDI QIDQ510453

Sumit Kumar Pandey, Ayineedi Venkateswarlu, Kishan Chand Gupta

Publication date: 10 February 2017

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

Full work available at URL: https://hal.inria.fr/hal-01276433/file/wcc15-th1-3.pdf

zbMATH Keywords

BCH codesMDS codescyclic codescompanion matricesdiffusion layerrecursive MDS matricesshortened codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Cyclic codes (94B15)

Related Items (6)

Introducing a new connection between the entries of MDS matrices constructed by generalized Cauchy matrices in \(GF(2^q)\) ⋮ Construction of recursive MDS matrices using DLS matrices ⋮ Almost involutory recursive MDS diffusion layers ⋮ Recursive MDS matrices over finite commutative rings ⋮ Towards a general construction of recursive MDS diffusion layers ⋮ Construction of MDS matrices from generalized Feistel structures

Uses Software

• PHOTON
• FOX
• LED

Cites Work

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• Construction of Recursive MDS Diffusion Layers from Gabidulin Codes
• Direct Construction of Recursive MDS Diffusion Layers Using Shortened BCH Codes
• The LED Block Cipher
• Recursive Diffusion Layers for (Lightweight) Block Ciphers and Hash Functions
• Recursive Diffusion Layers for Block Ciphers and Hash Functions
• The PHOTON Family of Lightweight Hash Functions
• Selected Areas in Cryptography
• Selected Areas in Cryptography

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