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Abstract: This paper studies resilient functions which have applications in fault-tolerant distributed computing, quantum cryptographic key distribution and random sequence generation for stream ciphers. We present a number of methods for synthesizing resilient functions. An interesting aspect of these methods is that they are applicable both to linear and to nonlinear resilient functions. Our second major contribution is to show that every linear resilient function can be transformed into a large... (Update)
Context of citations to this paper: More
...nonlinearity are desireable. Recently, Zhang and Zheng showed how to transform linear (n; m; t) resilient functions into nonlinear ones[6]. This paper shows another way to design (n; m; t) resilient functions with high nonlinearity. Our design method is extremely simple. For the...
.... There have been only a few papers where the construction of nonlinear resilient functions was studied (see for example [4] 8] and [10]) In [8] the construction of nonlinear resilient functions was discussed such that linear ones with the same parameters do not exist,...
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BibTeX entry: (Update)
X. M. Zhang and Y. Zheng, "On nonlinear resilient functions, " Advances in Cryptology --- EUROCRYPT '95 Proceedings, Lecture Notes in Computer Science 921, Springer-Verlag, pp. 274--288, 1995. http://citeseer.ist.psu.edu/zhang96nonlinear.html More
@article{ zhang95nonlinear,
author = "Xian-Mo Zhang and Yuliang Zheng",
title = "On Nonlinear Resilient Functions",
journal = "Lecture Notes in Computer Science",
volume = "921",
pages = "274--??",
year = "1995",
url = "citeseer.ist.psu.edu/zhang96nonlinear.html" }
Citations (may not include all citations):860 The Theory of Error-Correcting Codes (context) - MacWilliams, Sloane - 1978
288 Linear cryptanalysis method for DES cipher (context) - Matsui - 1994
84 Privacy amplification by public discussion (context) - Bennett, Brassard et al. - 1988
84 Analysis and Design of Stream Ciphers (context) - Rueppel - 1986
81 The bit extraction problem or t-resilient functions - Chor, Goldreich et al. - 1985
77 Correlation-immunity of nonlinear combining functions for cr.. (context) - Siegenthaler - 1984
46 Differentially uniform mappings for cryptography (context) - Nyberg - 1994
44 On correlation-immune functions (context) - Camion, Carlet et al. - 1991
43 the construction of highly nonlinear permutations (context) - Nyberg - 1993
39 Nonlinearity and propagation characteristics of balanced boo.. - Seberry, Zhang et al. - 1995
35 On constructions and nonlinearity of correlation immune func.. - Seberry, Zhang et al. - 1994
24 Resilient functions and large sets of orthogonal arrays (context) - Stinson - 1993
21 The Stability Theory of Stream Ciphers (context) - Ding, Xiao et al. - 1991
21 Relationships among nonlinearity criteria - Seberry, Zhang et al. - 1995
20 An infinite class of counterexamples to a conjecture concern.. - Stinson, Massey - 1995
19 on Foundations of Computer Science (context) - Friedman - 1992
18 Bounds on resilient functions and orthogonal arrays - Bierbrauer, Gopalakrishnan et al. - 1994
16 On permutations against differential cryptanalysis (context) - Beth, Ding - 1994
14 Three characterizations of non-binary correlation-immune and.. - Gopalakrishnan, Stinson - 1994
9 A note on a conjecture concerning symmetric resilient functi.. - Gopalakrishnan, Hoffman et al. - 1993
5 A spectral characterization of correlation-immune combining .. (context) - Guo-Zhen, Massey - 1988
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