Characterisations of extended resiliency and extended immunity of S-boxes

Pieprzyk, Josef, Zhang, Xian-Mo, & Golić, Jovan Dj (2006) Characterisations of extended resiliency and extended immunity of S-boxes. Lecture Notes in Computer Science : Information Security and Cryptology, 3935, pp. 210-228.

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Abstract

New criteria of extended resiliency and extended immunity of vectorial Boolean functions, such as S-boxes for stream or block ciphers, were recently introduced. They are related to a divide-and-conquer approach to algebraic attacks by conditional or unconditional equations. Classical resiliency turns out to be a special case of extended resiliency and as such requires more conditions to be satisfied. In particular, the algebraic degrees of classically resilient S-boxes are restricted to lower values. In this paper, extended immunity and extended resiliency of S-boxes are studied and many characterisations and properties of such S-boxes are established. The new criteria are shown to be necessary and sufficient for resistance against the divide-and-conquer algebraic attacks by conditional or unconditional equations.

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ID Code: 73319
Item Type: Journal Article
Refereed: Yes
Additional Information: Book Subtitle:
8th International Conference, Seoul, Korea, December 1-2, 2005, Revised Selected Papers
DOI: 10.1007/11734727_19
ISSN: 0302-9743
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Deposited On: 03 Jul 2014 03:36
Last Modified: 04 Jul 2014 00:14

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