Construction of MDS matrices from generalized Feistel structures

DOI10.1007/s10623-021-00876-6zbMath1466.94037OpenAlexW3157624286MaRDI QIDQ2035449

Publication date: 24 June 2021

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

Full work available at URL: https://doi.org/10.1007/s10623-021-00876-6

zbMATH Keywords

MDS matrix diffusion layer generalized Feistel structures

Mathematics Subject Classification ID

Cryptography (94A60) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (3)

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 ⋮ FUTURE: a lightweight block cipher using an optimal diffusion matrix

Uses Software

Midori

Cites Work

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On the direct construction of recursive MDS matrices
Towards a general construction of recursive MDS diffusion layers
Lightweight MDS serial-type matrices with minimal fixed XOR count
On circulant involutory MDS matrices
Almost involutory recursive MDS diffusion layers
Cryptographically significant MDS matrices over finite fields: a brief survey and some generalized results
A proof of the Beierle-Kranz-Leander conjecture related to lightweight multiplication in $\mathbb{F}_{2^n} $
XOR-counts and lightweight multiplication with fixed elements in binary finite fields
Midori: A Block Cipher for Low Energy
Lightweight Multiplication in $$GF(2^n)$$ with Applications to MDS Matrices
Direct Construction of Recursive MDS Diffusion Layers Using Shortened BCH Codes
Lightweight MDS Involution Matrices
Extended Generalized Feistel Networks Using Matrix Representation
On the Diffusion of Generalized Feistel Structures Regarding Differential and Linear Cryptanalysis
On the Construction of Block Ciphers Provably Secure and Not Relying on Any Unproved Hypotheses
Recursive Diffusion Layers for (Lightweight) Block Ciphers and Hash Functions
Lightweight MDS Generalized Circulant Matrices
On the Construction of Lightweight Circulant Involutory MDS Matrices
On lowest density MDS codes
Recursive Diffusion Layers for Block Ciphers and Hash Functions
On Constructions of Involutory MDS Matrices
The PHOTON Family of Lightweight Hash Functions
FOAM: Searching for Hardware-Optimal SPN Structures and Components with a Fair Comparison

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