Type-preserving matrices and security of block ciphers

DOI10.3934/amc.2019016zbMath1452.94060arXiv1803.00965OpenAlexW2963523620MaRDI QIDQ2415388

Alessio Meneghetti, Riccardo Aragona

Publication date: 21 May 2019

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

Full work available at URL: https://arxiv.org/abs/1803.00965

zbMATH Keywords

primitive groupsmixing layercryptosystemsgroup generated by the round functions

Mathematics Subject Classification ID

Cryptography (94A60)

Related Items (1)

On properties of translation groups in the affine general linear group with applications to cryptography

Uses Software

• PRESENT
• Camellia
• Serpent

Cites Work

• Influence of addition modulo \(2^n\) on algebraic attacks
• The group generated by the round functions of a GOST-like cipher
• An application of the O'Nan-Scott theorem to the group generated by the round functions of an AES-like cipher
• On some block ciphers and imprimitive groups
• Group theoretic properties of Rijndael-like ciphers
• Is the data encryption standard a group? (Results of cycling experiments on DES)
• Wave-shaped round functions and primitive groups
• A note on some algebraic trapdoors for block ciphers
• On the group generated by the round functions of translation based ciphers over arbitrary finite fields
• Camellia: A 128-Bit Block Cipher Suitable for Multiple Platforms — Design andAnalysis
• The Round Functions of RIJNDAEL Generate the Alternating Group
• SEA: A Scalable Encryption Algorithm for Small Embedded Applications
• PRESENT: An Ultra-Lightweight Block Cipher
• Communication Theory of Secrecy Systems*
• Generators for Certain Alternating Groups with Applications to Cryptography
• Primitivity of PRESENT and other lightweight ciphers
• Serpent: A New Block Cipher Proposal
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