Cryptographic properties of cyclic binary matrices

DOI10.3934/amc.2020068zbMath1460.94063OpenAlexW2998990451MaRDI QIDQ2025370

Nasour Bagheri, S. M. Dehnavi, Mohmmadreza Mirzaee Shamsabad, Akbar Mahmoodi Rishakani

Publication date: 12 May 2021

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2020068

zbMATH Keywords

matrix decompositiondiffusion layerbranch numbersymmetric ciphercyclic binary matrix

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (1)

Provable one-XOR matrices for construction of 4 × 4 hardware-oriented MDS diffusion layers

Uses Software

• MinT
• ARIA
• HIGHT
• Camellia
• Twofish
• Midori
• SNOW
• Code Tables

Cites Work

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• Efficient recursive diffusion layers for block ciphers and hash functions
• On the algebraic construction of cryptographically good \(32 \times 32\) binary linear transformations
• Camellia: A 128-Bit Block Cipher Suitable for Multiple Platforms — Design andAnalysis
• Midori: A Block Cipher for Low Energy
• Constructing Lightweight Optimal Diffusion Primitives with Feistel Structure
• Lightweight Multiplication in $$GF(2^n)$$ with Applications to MDS Matrices
• Fides: Lightweight Authenticated Cipher with Side-Channel Resistance for Constrained Hardware
• A Generic Approach to Invariant Subspace Attacks: Cryptanalysis of Robin, iSCREAM and Zorro
• Loiss: A Byte-Oriented Stream Cipher
• HIGHT: A New Block Cipher Suitable for Low-Resource Device
• On Constructing of a 32 ×32 Binary Matrix as a Diffusion Layer for a 256-Bit Block Cipher
• New Description of SMS4 by an Embedding overGF(28)
• MinT: A Database for Optimal Net Parameters
• Information Security and Cryptology - ICISC 2003

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