[PDF][PDF] Cryptographically significant mds matrices over finite fields: A brief survey and some generalized results.

KC Gupta, SK Pandey, IG Ray… - Advances in Mathematics …, 2019 - researchgate.net
A matrix is MDS or super-regular if and only if every square submatrices of it are
nonsingular. MDS matrices provide perfect diffusion in block ciphers and hash functions. In …

On the construction of lightweight circulant involutory MDS matrices

Y Li, M Wang - International Conference on Fast Software Encryption, 2016 - Springer
In the present paper, we investigate the problem of constructing MDS matrices with as few
bit XOR operations as possible. The key contribution of the present paper is constructing …

A new hybrid method combining search and direct based construction ideas to generate all 4× 4 involutory maximum distance separable (MDS) matrices over binary …

G Tuncay, FB Sakallı, MK Pehlivanoğlu… - PeerJ Computer …, 2023 - peerj.com
This article presents a new hybrid method (combining search based methods and direct
construction methods) to generate all 4× 4 involutory maximum distance separable (MDS) …

Generalisation of Hadamard matrix to generate involutory MDS matrices for lightweight cryptography

MK Pehlivanoğlu, MT Sakallı, S Akleylek… - IET Information …, 2018 - Wiley Online Library
In this study, the authors generalise Hadamard matrix over and propose a new form of
Hadamard matrix, which they call generalised Hadamard (GHadamard) matrix. Then, they …

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

KC Gupta, IG Ray - Cryptography and Communications, 2015 - Springer
MDS matrices incorporate diffusion layers in block ciphers and hash functions. MDS
matrices are in general not sparse and have a large description and thus induce costly …

On constructions of circulant MDS matrices for lightweight cryptography

K Chand Gupta, I Ghosh Ray - … , ISPEC 2014, Fuzhou, China, May 5-8 …, 2014 - Springer
Maximum distance separable (MDS) matrices have applications not only in coding theory
but are also of great importance in the design of block ciphers and hash functions. It is highly …

Construction of recursive MDS diffusion layers from Gabidulin codes

TP Berger - International Conference on Cryptology in India, 2013 - Springer
Many recent block ciphers use Maximum Distance Separable (MDS) matrices in their
diffusion layer. The main objective of this operation is to spread as much as possible the …

[PDF][PDF] Siber Güvenlik ve Savunma

Ş Sağıroğlu, M Alkan - Grafiker Yayınları, Ankara, 2018 - researchgate.net
BGD'nin vizyonu;“bilgi güvenliği alanında ulusal ve uluslararası düzeyde tarafsız, güvenilir
ve et in bir ulusal sivil toplum uruluşu olma tır.” BGD amacı doğrultusunda; tüm paydaşlarla …

Almost involutory recursive MDS diffusion layers

KC Gupta, SK Pandey, A Venkateswarlu - Designs, Codes and …, 2019 - Springer
A recursive MDS matrix is an MDS matrix which can be expressed as a power of some
companion matrix. The advantage of such a matrix is that it can be implemented by a single …

Towards a general construction of recursive MDS diffusion layers

KC Gupta, SK Pandey, A Venkateswarlu - Designs, Codes and …, 2017 - Springer
MDS matrices are of great importance in the design of block ciphers and hash functions.
MDS matrices are not sparse and have a large description and thus induce costly …