@inproceedings{9c3f2eaacc1d4840bfa5697259f98054,
title = "Characterisations of extended resiliency and extended immunity of S-boxes",
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.",
author = "Josef Pieprzyk and Zhang, {Xian Mo} and Goli{\'c}, {Jovan Dj}",
year = "2006",
doi = "10.1007/11734727_19",
language = "English",
isbn = "3540333541",
volume = "3935 LNCS",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer, Springer Nature",
pages = "210--228",
editor = "Dongho Won and Seungjoo Kim",
booktitle = "Information Security and Cryptology, ICISC 2005 - 8th International Conference, Revised Selected Papers",
address = "United States",
note = "8th International Conference on Information Security and Cryptology, ICISC 2005 ; Conference date: 01-12-2005 Through 02-12-2005",
}