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 Rijmcn used algebraic techniques to provide an
unparalleled level of assurance against many standard statistical
cryptanalytic tech- niques. 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 cryptogra- phers and
algebraists and will stimulate future research. During the writing
of this monograph we have found reasons to thank many people. We
are especially grateful to the British Engineering and Physical
Sciences Research Council (EPSRC) for their funding of the research
project Security Analysis of the Advanced Encryption System (Grant
GR/S42637), and to Susan Lagerstrom-Fifc and Sharon Palleschi at
Springer. Wo would also hke to thank Glaus Diem, Maura Paterson,
and Ludovic Perret for their valuable comments. Finally, the
support of our families at home and our colleagues at work has been
invaluable and particularly appreciated.
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