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Abstract: Jennifer Seberry Xian-Mo Zhang and Yuliang Zheng Department of Computer Science University of Wollongong, Wollongong, NSW 2522, Australia fjennie, xianmo, yuliangg@cs.uow.edu.au Abstract. Three of the most important criteria for cryptographically strong Boolean functions are the balancedness, the nonlinearity and the propagation criterion. This paper studies systematic methods for constructing Boolean functions satisfying some or all of the three criteria. (Update)
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BibTeX entry: (Update)
J. Seberry, X. M. Zhang, and Y. Zheng. Nonlinearly balanced boolean functions and their propagation characteristics. In Advances in Cryptology - CRYPTO'93, volume 773, Lecture Notes in Computer Science, pages 49--60. Springer-Verlag, Berlin, Heidelberg, New York, 1994. http://citeseer.ist.psu.edu/seberry93nonlinearly.html More
@article{ seberry94nonlinearly,
author = "Jennifer Seberry and Xian-Mo Zhang and Yuliang Zheng",
title = "Nonlinearly Balanced {Boolean} Functions and Their Propagation Characteristics",
journal = "Lecture Notes in Computer Science",
volume = "773",
pages = "49--??",
year = "1994",
url = "citeseer.ist.psu.edu/seberry93nonlinearly.html" }
Citations (may not include all citations):67 Nonlinearity criteria for cryptographic functions (context) - Staffelbach - 1990
57 Propagation characteristics of boolean functions (context) - Preneel, Leekwick et al. - 1991
50 Perfect nonlinear S-boxes (context) - Nyberg - 1991
39 Nonlinearity and propagation characteristics of balanced boo.. - Seberry, Zhang et al. - 1993
35 A survey of bent functions (context) - Dillon - 1972
29 Covering radius --- survey and recent results (context) - Cohen, Karpovsky et al. - 1985
27 Generating and counting binary bent sequences (context) - Adams, Tavares - 1990
20 Constructing large cryptographically strong S-boxes (context) - Detombe, Tavares - 1993
19 The use of bent sequences to achieve higherorder strict aval.. - Adams, Tavares - 1990
13 Highly nonlinear 0-1 balanced functions satisfying strict av.. (context) - Seberry, Zhang - 1993
11 Reed-Muller code is at least (context) - Patterson, Wiedemann - 1983
11 and block designs (context) - Seberry, Yamada - 1992
11 Journal of Combinatorial Theory Ser (context) - Rothaus - 1976
The graph only includes citing articles where the year of publication is known.
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