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ThinkMind // INNOV 2014, The Third International Conference on Communications, Computation, Networks and Technologies // View article innov_2014_2_10_70003
Application of the Composite Field in the Design of an Improved AES S-box Based on Inversion
 Authors:
Zhao Wang
Xiao Zhang
Sitao Wang
Zhisong Hao
Zhiming Zheng Keywords: Composite field; S-box; Hardware implementation. Abstract:
The hardware implementation of the Substitution-Box (S-box) of the Advanced Encryption Standard (AES) always employs composite field GF((2^n)^2) to obtain better efficiency. In this paper, an improved class of S-boxes by direct inversion in composite field is presented, and the choice of the subfield leading to the most efficient implementation is discussed. Eliminating the field isomorphic transformations, such a composite field is easier to fix and the resulting hardware implementation is more efficient than that of AES S-box. Some common cryptographic characteristics for the composite field based S-boxes are examined, and it turns out that direct inversion in composite field does not weaken the cryptographic characteristics. In addition, a demonstration for the immunity against the potential algebraic attack on AES with the replacement of our S-box is given, and it is proven that the revised AES is even more secure than the original AES against the algebraic attack. As a result of this work, it could be predicted that the isomorphism implies equal immunity from certain cryptanalysis. Our S-box is suitable for the area-limited hardware production. Pages: 23 to 29 Copyright: Copyright (c) IARIA, 2014 Publication date: October 12, 2014 Published in: conference ISSN: 2326-9286 ISBN: 978-1-61208-373-5 Location: Nice, France Dates: from October 12, 2014 to October 16, 2014
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