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

Authors:
A. Caranti;Francesca Dalla Volta;M. Sala
Affiliations:
Dipartimento di Matematica, Università degli Studi di Trento, Povo, Trento, Italy 38050;Dipartimento di Matematica e Applicazioni, Edificio U5, Università degli Studi di Milano-Bicocca, Milano, Italy 20125;Dipartimento di Matematica, Università degli Studi di Trento, Povo, Trento, Italy 38050
Venue:
Designs, Codes and Cryptography
Year:
2009

Citing 6
Cited 0

Is the data encryption standard a group? (Results of cycling experiments on DES)

Journal of Cryptology
Differentially uniform mappings for cryptography

EUROCRYPT '93 Workshop on the theory and application of cryptographic techniques on Advances in cryptology
The Design of Rijndael

The Design of Rijndael
Essential Algebraic Structure within the AES

CRYPTO '02 Proceedings of the 22nd Annual International Cryptology Conference on Advances in Cryptology
The Round Functions of RIJNDAEL Generate the Alternating Group

FSE '02 Revised Papers from the 9th International Workshop on Fast Software Encryption
Group theoretic properties of Rijndael-like ciphers

Discrete Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In a previous paper, we had proved that the permutation group generated by the round functions of an AES-like cipher is primitive. Here we apply the O'Nan Scott classification of primitive groups to prove that this group is the alternating group.