An application of the O'Nan-Scott theorem to the group generated by the round functions of an AES-like cipher

DOI10.1007/s10623-009-9283-1zbMath1174.94011arXiv0812.1629OpenAlexW1585928130WikidataQ121447061 ScholiaQ121447061MaRDI QIDQ735032

Massimiliano Sala, Francesca Dalla Volta, Andrea Caranti

Publication date: 14 October 2009

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

Full work available at URL: https://arxiv.org/abs/0812.1629

zbMATH Keywords

alternating groupprimitive groupAEScryptosystemsround functionsRijindadel

Mathematics Subject Classification ID

Cryptography (94A60) Extensions, wreath products, and other compositions of groups (20E22) Primitive groups (20B15)

Related Items (18)

A note on an infeasible linearization of some block ciphers ⋮ The \(t\)-wise independence of substitution-permutation networks ⋮ On some block ciphers and imprimitive groups ⋮ Primitivity of PRESENT and other lightweight ciphers ⋮ On Differential Uniformity of Maps that May Hide an Algebraic Trapdoor ⋮ Type-preserving matrices and security of block ciphers ⋮ On the image of an affine subspace under the inverse function within a finite field ⋮ Compositions and parities of complete mappings and of orthomorphisms ⋮ On the group generated by the round functions of translation based ciphers over arbitrary finite fields ⋮ Some group-theoretical results on Feistel networks in a long-key scenario ⋮ Wave-shaped round functions and primitive groups ⋮ On weak differential uniformity of vectorial Boolean functions as a cryptographic criterion ⋮ The group generated by the round functions of a GOST-like cipher ⋮ Primitivity of the group of a cipher involving the action of the key-schedule ⋮ A note on some algebraic trapdoors for block ciphers ⋮ A property of the inverse of a subspace of a finite field ⋮ Group properties of block ciphers of the Russian standards GOST R 34.11-2012 and GOST R 34.12-2015 ⋮ Inversion and subspaces of a finite field

Uses Software

• GAP

Cites Work

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• On some block ciphers and imprimitive groups
• Inverse-closed additive subgroups of fields
• Inversion invariant additive subgroups of division rings
• Group theoretic properties of Rijndael-like ciphers
• Subgroups of prime power index in a simple group
• Is the data encryption standard a group? (Results of cycling experiments on DES)
• The Round Functions of RIJNDAEL Generate the Alternating Group
• Understanding Two-Round Differentials in AES
• Communication Theory of Secrecy Systems*
• Generators for Certain Alternating Groups with Applications to Cryptography
• The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup

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