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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 new 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
...to resist a correlation attack. Relevant discussions on correlation immune functions, and more generally on resilient functions, can be found in [22]. 4 A Tight Lower Bound on Nonlinearity of Boolean Functions Satisfying Avalanche Criterion of Degree p Let (a 0 ; a 1 ; a...
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BibTeX entry: (Update)
X. M. Zhang and Y. Zheng. Cryptographically resilient functions. IEEE Transactions on Information Theory, 43(5):1740-1747, 1997. http://citeseer.ist.psu.edu/zhang97cryptographically.html More
@article{ zhang97cryptographically,
author = "Zhang and Zheng",
title = "Cryptographically Resilient Functions",
journal = "IEEETIT: IEEE Transactions on Information Theory",
volume = "43",
year = "1997",
url = "citeseer.ist.psu.edu/zhang97cryptographically.html" }
Citations (may not include all citations):860 The Theory of ErrorCorrecting Codes (context) - MacWilliams, Sloane - 1978
288 Linear cryptanalysis method for DES cipher (context) - Matsui - 1994
97 Encyclopedia of Mathematics and Its Applications (context) - Lidl, Niederreiter et al. - 1983
84 Analysis and Design of Stream Ciphers (context) - Rueppel - 1986
84 Privacy amplification by public discussion (context) - Bennett, Brassard et al. - 1988
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
45 A spectral characterization of correlation-immune combining .. (context) - Guo-Zhen, Massey - 1988
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
27 the bit extraction problem (context) - Friedman - 1992
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
18 Bounds on resilient functions and orthogonal arrays - Bierbrauer, Gopalakrishnan et al. - 1994
16 On permutations against differential cryptanalysis (context) - Beth, Ding - 1994
14 Characterizing the structures of cryptographic functions sat.. - Zhang, Zheng - 1996
14 Three characterizations of non-binary correlation-immune and.. - Gopalakrishnan, Stinson - 1995
13 GAC --- the criterion for global avalanche characteristics o.. - Zhang, Zheng - 1995
9 A note on a conjecture concerning symmetric resilient functi.. - Gopalakrishnan, Hoffman et al. - 1993
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