Abstract
We examine diffusion properties of Rijndael which has been selected by US National Institute of Standards and Technology (NIST) for the proposed Advanced Encryption Standard (AES). Since the s-box of Rijndael applies a nonlinear transformation operating on each byte of the intermediate cipher result independently, its characteristics have significant effects on the strength of the entire system. The characteristics of Rijndael’s s-box are investigated for the criteria of avalanche, strict avalanche, bit independence, nonlinearity and XOR table distribution. We also evaluate the overall performance for different rounds of Rijndael, and compare it to Safer K-64, in terms of Avalanche Weight Distribution (AWD) criterion.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Daemen, J. and Rijmen, V.: AES Proposal: Rijndael. NIST Publication (1999)
Massey, J.L.: SAFER K-64: A Byte-Oriented Block-Ciphering Algorithm. Fast Software Encryption — Proceedings of Cambridge Security Workshop, Cambridge, U.K., LNCS 809, Springer Verlag (1994) 1–17
Aras, E.: Analysis of Security Criteria for Block Ciphers. M.S. Thesis, Middle East Technical University, Ankara, Türkiye (September 1999)
Kam, J.B. and Davida, G.I..: Structured design of substution-permutation encryption networks. IEEE Transactions on Computers, Vol. C-28,No.10, (October 1979) 747–753
Feistel, H.: Cryptography and computer privacy. Scientific American. Vol. 228,No.5 (May 1973) 15–23
Webster, A.F. and Tavares, S.E.: On the Design of S-boxes. Advances in Cryptology: Proceedings of CRYPTO’85, Springer Verlag, New York, (1986) 523–534
Adi Shamir and Eli Biham: Differential Cryptanalysis of DES-like Cryptosystems. Journal of Cryptology, Vol. 4,No. 1 (1991) 3–72
Meier W. and Staffelbach, O.: Nonlinearity Criteria For Cryptographic Functions. Advances in Cryptology, Proc. EUROCRYPT’89, Springler-Verlag (1989) 549–562
Vergili, I.: Statistics on Satisfaction of Security Criteria for Randomly Generated S-boxes. M.S. Thesis, Middle East Technical University, Ankara, Türkiye (June 2000)
Vergili, I. and Yücel, M.D.: On Satisfaction of Some Security Criteria for Randomly Chosen S-Boxes. Proc. 20th Biennial Symp. on Communications, Kingston (May 2000) 64–68
Aras, E. and Yücel, M.D.: Some Cryptographic Properties of Exponentiation and Logarithm Taking S-Boxes. Proc. 20th Biennial Symp. on Communications, Kingston, Canada (May 2000) 69–73
Soto, J. and Basham, L.: Randomnes Testing of the Advanced Encryption Standard Finalist Candidates. NIST Publication (March 2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Kavut, S., Yücel, M.D. (2001). On Some Cryptographic Properties of Rijndael. In: Gorodetski, V.I., Skormin, V.A., Popyack, L.J. (eds) Information Assurance in Computer Networks. MMM-ACNS 2001. Lecture Notes in Computer Science, vol 2052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45116-1_29
Download citation
DOI: https://doi.org/10.1007/3-540-45116-1_29
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42103-0
Online ISBN: 978-3-540-45116-7
eBook Packages: Springer Book Archive