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Abstract: In this correspondence, construction of balanced Boolean functions with maximum possible algebraic (annihilator) immunity (AI) is studied with an additional property which is necessary to resist fast algebraic attack. The additional property considered here is, given an n-variable (n even) balanced function f with maximum possible AI , and given two n-variable Boolean functions g, h such that fg = h, , then deg(g) must be greater than or equal to . Our results can also be used... (Update)
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1.6: On the Boolean Functions with Maximum Possible Algebraic.. - Qu, Feng, Li (2005) (Correct)
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BibTeX entry: (Update)
@misc{ immunity-balanced,
author = "Maximum Algebraic Immunity",
title = "Balanced Boolean Functions with (more than)",
url = "citeseer.ist.psu.edu/761676.html" }
Citations (may not include all citations):157 Advanced combinatorics (context) - Comtet - 1974
32 Algebraic attacks on stream ciphers with linear feedback - Courtois, Meier - 2003
24 Fast algebraic attacks on stream ciphers with linear feedbac.. (context) - Courtois - 2003
16 Algebraic Attacks on combiners with memory (context) - Armknecht, Krause - 2003
16 Algebraic attacks and decomposition of Boolean functions (context) - Meier, Pasalic et al. - 2004
10 Results on Algebraic Immunity for Cryptographically Signific.. (context) - Dalai, Gupta et al. - 2004
8 Improving Fast Algebraic Attacks (context) - Armknecht - 2004
6 Basic Theory in Construction of Boolean Functions with Maxim.. - Dalai, Maitra et al. - 2005
5 Cryptographically Significant Boolean functions: Constructio.. (context) - Dalai, Gupta et al. - 2005
5 the construction of balanced Boolean functions with a good a.. (context) - Carlet, Gaborit - 2005
4 Cryptanalysis of SFINKS - Courtois - 2005
4 Algebraic Immunity for Cryptographically Significant Boolean.. (context) - Carlet, Dalai et al.
4 the Algebraic Immunity of Symmetric Boolean Functions - Braeken, Preneel - 2005
4 Improving the algebraic immunity of resilient and nonlinear .. - Carlet - 2004
3 cient computation of algebraic immunity for algebraic and fa.. (context) - Armknecht, Carlet et al. - 2006
3 Tight bound between nonlinearity and algebraic immunity - Lobanov - 2005
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2 A lower bound on the higher order nonlinearity of algebraic .. - Carlet - 2005
2 Evaluating the Resistance of Filters and Combiners Against F.. (context) - Braeken, Lano et al. - 2005
1 Notion of Algebraic Immunity and Its evaluation Related to F.. - Dalai, Gupta et al. - 2006
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