Abstract
This chapter studies a few different independences of Boolean functions of their variables, including algebraic independence, statistical independence, and algebraic degeneracy.
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References
Daemen, J.: Cipher and hash function design, Strategies based on linear and differential cryptanalysis. PhD Thesis, Leuven (1995)
Lai, X.: Higher order derivatives and differential cryptanalysis. In: Blahut, R.E., et al. (eds.) Communications and Cryptography: Two Sides of One Tapestry, pp. 227–233. Kluwer Academic Publishers, Springer (1994)
Mitchell, C.: Enumerating Boolean functions of cryptographic significance. J. Cryptol. 2(3), 155–170 (1990)
Wu, C.K.: Boolean functions in cryptology. Ph.D. Thesis, Xidian University, Xian (1993) (in Chinese)
Wu, C.K.: On the independence of Boolean functions. Int. J. Comput. Math. 82(4), 415–420 (2005)
Wu, C.K., Dawson, E.: Existence of generalized inverse of linear transformations over finite fields. Finite Fields Appl. 4(4), 307–315 (1998)
Xiao, G.Z., Shen, B.Z., Wu, C.K., Wang, C.C.: Spectral techniques in coding theory. Discret. Math. 87, 181–186 (1991)
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Wu, CK., Feng, D. (2016). Independence of Boolean Functions of Their Variables. In: Boolean Functions and Their Applications in Cryptography. Advances in Computer Science and Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48865-2_2
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DOI: https://doi.org/10.1007/978-3-662-48865-2_2
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