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28 J. Fournier and M. Tunstall 8. MIPS-Technologies. SmartMIPS ASE. com/content/Products/. 9. MIPS-Technologies. MIPSTM architecture for programmers volume I: Introduction to the MIPS32TM architecture. 95, March 2001. 10. National Institute of Standards and Technology. Advanced encryption standard (AES) (FIPS–197), 2001. 11. D. A. Osvik, A. Shamir, and E. Tromer. Cache attacks and countermeasures: the case of AES. In D. Pointcheval, editor, Topics in Cryptology – CT-RSA 2006, volume 3860 of Lecture Notes in Computer Science, pages 1–20.

The outline of this paper is as follows. We first introduce some preliminaries in Sect. 2. In Sect. 3, we give an explicit description of the current state of the art in (fast) algebraic attacks. In Sect. 4, a new algorithm to evaluate the resistance of a Boolean function against a class of FAAs is presented. Section 5 studies some theoretical bounds on the resistance of Boolean functions against FAAs. We discuss the resistance of eSTREAM candidates SFINKS and WG against FAAs in Sect. 6 as an illustration and conclude in Sect.

This means that one of the component of ρ is completely determined by the others. In general, the space of ρ is 2n−1 . If we consider a monomial of degree d such that σd = xi1 xi2 · · · xid , then, the monomial σd is correlated due to the restriction on the space of ρ. It is clear that such correlation always exists and is dependent on the degree d and the weight n. Let us consider a quadratic monomial which is the simplest form of non-linear function. Lemma 1. Given two vectors x = (x1 , x2 , · · · , xn ) and y = (y1 , y2 , · · · , yn ) such that ni=1 xi = 0 and ni=1 yi = 0, then σxy = ni=1 xi yi is a Boolean function in GF (22n ) → GF (2) with the bias determined by the following probability 1 (1 + 2−n+2 ) n is even P r[σxy = 0] = 21 (11) −n+1 ) n is odd 2 (1 + 2 Proof.

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AdobePhotoshopCS3: официальный учебный курс


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