By Dongdai Lin, Shouhuai Xu, Moti Yung
This e-book constitutes the completely refereed post-conference lawsuits of the ninth overseas convention on info defense and Cryptology, Inscrypt 2013, held in Guangzhou, China, in November 2013.
The 21 revised complete papers offered including four brief papers have been rigorously reviewed and chosen from ninety three submissions. The papers disguise the themes of Boolean functionality and block cipher, series and flow cipher, functions: platforms and conception, computational quantity thought, public key cryptography, has functionality, side-channel and leakage, and alertness and process security.
Read or Download Information Security and Cryptology: 9th International Conference, Inscrypt 2013, Guangzhou, China, November 27-30, 2013, Revised Selected Papers (Lecture Notes in Computer Science) PDF
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Additional info for Information Security and Cryptology: 9th International Conference, Inscrypt 2013, Guangzhou, China, November 27-30, 2013, Revised Selected Papers (Lecture Notes in Computer Science)
IEEE Trans. Inf. cn Abstract. Block ciphers use Substitution boxes (S-boxes) to create confusion into the cryptosystems. For resisting the known attacks on these cryptosystems, the following criteria for functions are mandatory: low diﬀerential uniformity, high nonlinearity and not low algebraic degree. Bijectivity is also necessary if the cipher is a Substitution-Permutation Network, and balancedness makes a Feistel cipher lighter. It is wellknown that almost perfect nonlinear (APN) functions have the lowest differential uniformity 2 (the values of diﬀerential uniformity being always even) and the existence of APN bijections over F2n for even n ≥ 8 is a big open problem.
Thus, fa,b (1) and fa,b have the same hyper-bentness. Above all, this theorem follows. A Note on Semi-bent and Hyper-bent Boolean Functions 19 (r) From Theorem 8, to characterize the hyper-bentness of fa,b , we just consider (1) (2) (5) (1) the hyper-bentness of fa,b , fa,b and fa,b . The hyper-bentness of fa,b is considered (5) in . And the hyper-bentness of fa,b is discussed before. Next, we just study (2) the hyper-bentness of fa,b . (2) When b = 0, the hyper-bentness of fa,0 is given in .
Hence, there are two points at inﬁnity satisfying the Eq. (15), which are (0 : 1 : 0) and (1 : 0 : 0). We now compute the multiplicity of roots of (0 : 1 : 0) and (1 : 0 : 0), respectively. , Y = 1. We can use α1 z α2 z α3 z x 1 1 + + +γ ( )2 + = z z x + β1 z x + β2 z x + β3 z z (17) to calculate the multiplicity of root. It should be note that (0 : 1 : 0) is corresponding to (0, 0). Multiply Eq. (17) by z 2 , we get 1+[ α2 α3 α1 + + ]z 3 = z + γxz. x + β1 z x + β2 z x + β3 z Multiply this new equation by (x + β1 z)(x + β2 z)(x + β3 z), we have (x + β1 z)(x + β2 z)(x + β3 z) + R(x, z) = 0, where R(x, z) is a polynomial such that its every monomial has algebraic degree at least 3.