On quadratic approximations in block ciphers

On quadratic approximations in block ciphers We consider quadratic approximations (of Boolean functions) of a special form and their potential applications in block cipher cryptanalysis. We show that the use of k-bent functions as ciphering functions extremely increases the resistance of ciphers to such approximations. We consider examples of 4-bit permutations recommended for use in S-boxes of the algorithms GOST 28147-89, DES, and s 3DES; we show that in almost all cases there exist more probable (than linear) quadratic relations of a special form on input and output bits of these permutations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On quadratic approximations in block ciphers

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2008 by Pleiades Publishing, Ltd.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946008030083
Publisher site
See Article on Publisher Site

Abstract

We consider quadratic approximations (of Boolean functions) of a special form and their potential applications in block cipher cryptanalysis. We show that the use of k-bent functions as ciphering functions extremely increases the resistance of ciphers to such approximations. We consider examples of 4-bit permutations recommended for use in S-boxes of the algorithms GOST 28147-89, DES, and s 3DES; we show that in almost all cases there exist more probable (than linear) quadratic relations of a special form on input and output bits of these permutations.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 18, 2008

References

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