Cryptographically significant MDS matrices based on circulant and circulant-like matrices for lightweight applications

DOI10.1007/s12095-014-0116-3zbMath1365.94432OpenAlexW2016560440MaRDI QIDQ892302

Kishan Gupta, Indranil Ray

Publication date: 18 November 2015

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

Full work available at URL: https://doi.org/10.1007/s12095-014-0116-3

zbMATH Keywords

diffusionorthogonal matrixinvolutory matrixinvmixcolumn operationmaximum distance separable (MDS) matrixmixcolumn operation

Mathematics Subject Classification ID

Cryptography (94A60) Orthogonal matrices (15B10)

Related Items

Involutory-multiple-lightweight MDS matrices based on Cauchy-type matrices ⋮ Introducing a new connection between the entries of MDS matrices constructed by generalized Cauchy matrices in \(GF(2^q)\) ⋮ Almost involutory recursive MDS diffusion layers ⋮ Lightweight MDS Generalized Circulant Matrices ⋮ On the Construction of Lightweight Circulant Involutory MDS Matrices ⋮ Towards a general construction of recursive MDS diffusion layers ⋮ Queens, attack! ⋮ Construction of lightweight involutory MDS matrices ⋮ Lightweight Multiplication in $$GF(2^n)$$ with Applications to MDS Matrices

Uses Software

• Magma
• Twofish
• FOX
• SHARK
• Square

Cites Work

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• On construction of involutory MDS matrices from Vandermonde matrices in \(\mathrm{GF}(2^q)\)
• An efficient key assignment scheme for access control in a large leaf class hierarchy
• The Magma algebra system. I: The user language
• SPN-Hash: Improving the Provable Resistance against Differential Collision Attacks
• Direct Construction of Recursive MDS Diffusion Layers Using Shortened BCH Codes
• Revisiting the IDEA Philosophy
• Recursive Diffusion Layers for (Lightweight) Block Ciphers and Hash Functions
• Communication Theory of Secrecy Systems*
• On the need for multipermutations: Cryptanalysis of MD4 and SAFER
• The cipher SHARK
• The main conjecture for MDS codes
• The block cipher Square
• Recursive Diffusion Layers for Block Ciphers and Hash Functions
• On Constructions of Involutory MDS Matrices
• The PHOTON Family of Lightweight Hash Functions
• Selected Areas in Cryptography
• Selected Areas in Cryptography
• Linear algebra.

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