| CONSTRUCTION OF SAC PERMUTATIONS |
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| 作者姓名： | GONG Guang |
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| 作者单位： | GONG Guang (Department of Applied Mathematics，University of Electronic Science and Technology of China，Chengdu 610054，China) DAI Zongduo (State Key Laborotory of Infrmation Security，the Graduate School，Academia Sinica，Beijing 100039，China) |
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| 摘 要： | 1.Intr0ductionandPreliminariesNonlinearpermutations0fGF(2")withstrongcryptographicpropertieshaveimportantaPplicationsincryptol0gysuchasDES-likeblockciphers,hushfunctionsandstreamciphers.TheStrictAvalancheCriterion(SAC)wasiotroducedbyWebsterandTaVresl2]inc…
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CONSTRUCTION OF SAC PERMUTATIONS |
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| GONG Guang.CONSTRUCTION OF SAC PERMUTATIONS[J].Journal of Systems Science and Complexity,1997(2). |
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| Authors: | GONG Guang |
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| Abstract: | Nonlinear permutations of GF(2n) with strong cryptographic properties have important applications in cryptology such as DES-like block ciphers, hush functions and stream ciphers. In paPer 1], we proved that the exponential function can provide a class of permutations satisfying the Strict Avalanche Criterion (SAC permutations) with algebraic nonlinear degree 2. In this paper, we further construct three classes of SAC permutations that are derived from the Dickson polynomials, GMW functions and the exponential functions with maximal algebraic nonlinear degree, respectively. |
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| Keywords: | The Strict Avalanche Criterion Dickson polynomial GMW function exponential function |
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