Algebraic Aspects of the Advanced Encryption Standard

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.

The Belgian block cipher Rijndael was chosen in 2000 by the U.S. government’s National Institute of Standards and Technology (NIST) to be the successor to the Data Encryption Standard. Rijndael was subsequently standardized as the Advanced Encryption Standard (AES), which is potentially the world’s most important block cipher. In 2002, some new analytical techniques were suggested that may have a dramatic effect on the security of the AES. Existing analytical techniques for block ciphers depend heavily on a statistical approach, whereas these new techniques are algebraic in nature.
Algebraic Aspects of the Advanced Encryption Standard, appearing five years after publication of the AES, presents the state of the art for the use of such algebraic techniques in analyzing the AES.
The primary audience for this work includes academic and industry researchers in cryptology; the book is also suitable for advanced-level students.

Provides a comprehensive analysis of the application of algebraic techniques to the AES instead of existing analytical techniques for block ciphers with a statistical approach Provides techniques that may have a dramatic effect on the security of the AES The AES is widely used in the financial and communications industries Authors address new research areas in symmetric cryptanalysis Authors are affiliated with the highly-regarded Information Security Group -- one of the largest academic security groups in the world -- at Royal Holloway, University of London Includes supplementary material: sn.pub/extras