Cid C., Murphy S., Rodshaw M. Algebraic aspects of the advanced encryption standard

Springer, 2006. — 144 p.It is now more than five years since the Belgian block cipher Rijndael was chosen as the Advanced Encryption Standard {AES). Joan Daemen and Vincent Rijmen used algebraic techniques to provide an unparalleled level of assurance against many standard statistical cryptanalytic techniques. The cipher is a fitting tribute to their distinctive approach to cipher design. Since the publication of the AES, however, the very same algebraic structures have been the subject of increasing cryptanalytic attention and this monograph has been written to summarise current research. We hope that this work will be of interest to both cryptographers and algebraists and will stimulate future research.Introduction to the AES.
Mathematical background.
Description of the AES.
Algebraic properties of the AES.
Equation systems for the AES.
Analysis of AES equation systems.
Closing remarks.