@inproceedings{91bc35949633438e9ae00e1a9a3b764a,
title = "Plateaued functions",
abstract = "The focus of this paper is on nonlinear characteristics of cryptographic Boolean functions. First, we introduce the notion of plateaued functions that have many cryptographically desirable properties. Second, we establish a sequence of strengthened inequalities on some of the most important nonlinearity criteria, including nonlinearity, propagation and correlation immunity, and prove that critical cases of the inequalities coincide with characterizations of plateaued functions. We then proceed to prove that plateaued functions include as a proper subset all partially-bent functions that were introduced earlier by Carlet. This settles an open question that arises from previously known results on partially-bent functions. In addition, we construct plateaued, but not partially-bent, functions that have many properties useful in cryptography.",
keywords = "Bent functions, Cryptography, Nonlinear characteristics, Partially-bent functions, Plateaued functions",
author = "Yuliang Zhen and Zhang, \{Xian Mo\}",
year = "1999",
doi = "10.1007/978-3-540-47942-0\_24",
language = "English",
isbn = "3540666826",
volume = "1726",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer, Springer Nature",
pages = "284--300",
booktitle = "Information and Communication Security - 2nd International Conference, ICICS 1999, Proceedings",
address = "United States",
note = "2nd International Conference on Information and Communication Security, ICICS - 1999 ; Conference date: 09-11-1999 Through 11-11-1999",
}