[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 …

WARP: Revisiting GFN for lightweight 128-bit block cipher

S Banik, Z Bao, T Isobe, H Kubo, F Liu… - Selected Areas in …, 2021 - Springer
In this article, we present WARP, a lightweight 128-bit block cipher with a 128-bit key. It aims
at small-footprint circuit in the field of 128-bit block ciphers, possibly for a unified encryption …

On the direct construction of MDS and near-MDS matrices

KC Gupta, SK Pandey, S Samanta - arXiv preprint arXiv:2306.12848, 2023 - arxiv.org
The optimal branch number of MDS matrices makes them a preferred choice for designing
diffusion layers in many block ciphers and hash functions. Consequently, various methods …

Construction of recursive MDS matrices using DLS matrices

KC Gupta, SK Pandey, S Samanta - International Conference on …, 2022 - Springer
Many block ciphers and hash functions use MDS matrices because of their optimal branch
number. On the other hand, MDS matrices generally have a high implementation cost, which …

Recursive MDS matrices over finite commutative rings

A Kesarwani, SK Pandey, S Sarkar… - Discrete Applied …, 2021 - Elsevier
Recursive MDS matrices are used for the design of linear diffusion layers in lightweight
cryptographic applications. Most of the works on the construction of recursive MDS matrices …

A Dynamic Algorithm for the Linear Layer of SPN Block Ciphers Based on Self-Reciprocal Recursive MDS Matrices

TT Luong - 2023 15th International Conference on Knowledge …, 2023 - ieeexplore.ieee.org
SPN block ciphers are widely used in various fields today. Research on enhancing the
dynamism of SPN block ciphers has become a topic of interest among cryptography experts …

Efficient implementation of the linear layer of block ciphers with large MDS matrices based on a new lookup table technique

TT Luong, N Van Long, B Vo - PLOS ONE, 2024 - journals.plos.org
Block cipher is a cryptographic field that is now widely applied in various domains. Besides
its security, deployment issues, implementation costs, and flexibility across different …

Construction of generalized-involutory MDS matrices

X Zhou, T Cong - Cryptology ePrint Archive, 2022 - eprint.iacr.org
Abstract Maximum Distance Separable (MDS) matrices are usually used to be diffusion
layers in cryptographic designs. The main advantage of involutory MDS matrices lies in that …

Exhaustive search for various types of MDS matrices

A Kesarwani, S Sarkar, A Venkateswarlu - IACR Transactions on …, 2019 - tosc.iacr.org
MDS matrices are used in the design of diffusion layers in many block ciphers and hash
functions due to their optimal branch number. But MDS matrices, in general, have costly …

More Constructions of Light MDS Transforms Based on Known MDS Circulant Matrices

JB Wang, Y Wu, Y Zhou - Information, 2022 - mdpi.com
Maximum distance separable (MDS) codes have the maximum branch number in
cryptography, and they are generally used in diffusion layers of symmetric ciphers. The …