On the Construction of New Lightweight Involutory MDS Matrices in Generalized Subfield Form

Küçük Resim Yok

Tarih

2023

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

IEEE-Inst Electrical Electronics Engineers Inc

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

Maximum Distance Separable (MDS) matrices are used as the main component of diffusion layers in block ciphers. MDS matrices have the optimal diffusion properties and the maximum branch number, which is a criterion to measure diffusion rate and security against linear and differential crypt analysis. However, it is a challenging problem to construct hardware-friendly MDS matrices with optimal or close to optimal circuits, especially for involutory ones. In this paper, we consider the generalized subfield construction method from the global optimization perspective and then give new 4 x 4 involutory MDS matrices over F-2(3) and F-2(5). After that, we present 1,176 (= 28 x 42) new 4 x 4 involutory and MDS diffusion matrices by 33 XORs and depth 3. This new record also improves the previously best-known cost of 38 XOR gates.

Açıklama

Anahtar Kelimeler

Ciphers, Optimization, Measurement, Costs, Codes, Matrices, Logic Gates, Cryptography, Diffusion Layers, Generalized Subfield Construction, Global Optimization, Lightweight Cryptography, MDS Matrices, Diffusion Layers, Generate

Kaynak

Ieee Access

WoS Q Değeri

N/A

Scopus Q Değeri

Q1

Cilt

11

Sayı

Künye