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Information Security and Cryptology: 9th International by Dongdai Lin, Shouhuai Xu, Moti Yung

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By Dongdai Lin, Shouhuai Xu, Moti Yung

This booklet constitutes the completely refereed post-conference lawsuits of the ninth foreign convention on info protection and Cryptology, Inscrypt 2013, held in Guangzhou, China, in November 2013.

The 21 revised complete papers provided including four brief papers have been conscientiously reviewed and chosen from ninety three submissions. The papers disguise the subjects of Boolean functionality and block cipher, series and move cipher, functions: structures and thought, computational quantity idea, public key cryptography, has functionality, side-channel and leakage, and alertness and process security.

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Additional resources for Information Security and Cryptology: 9th International Conference, Inscrypt 2013, Guangzhou, China, November 27-30, 2013, Revised Selected Papers

Example text

Given an integer n, let us define T (n) as the number of c ∈ F2n such that tr1n (c) = tr1n (1/c) = 1. Then there are T (n)−1 elements c ∈ F2n \{0, 1} such that tr1n (c) = tr1n (1/c) = 1 when n is odd, since tr1n (0) = 0 and tr1n (1) = 1. Let n Kn (a) = x∈F2n (−1)tr1 (1/x+ax) , where a ∈ F∗2n , be the so-called Kloosterman n sums on F2n . Note that Kn (1) = x∈F2n (−1)tr1 (x+1/x) = 2n − 2wt tr1n (x) + tr1n (1/x) = 2n − 2wt(tr1n (x)) − 2wt(tr1n (1/x)) + 4T (n) = −2n + 4T (n). We have T (n) = 2n−2 + Kn (1)/4, which is at least 2n−2 − 2n/2−1 according to Lemma 3 (see below).

Correlation of m-sequences and related topics. , Niederreiter, H. ) Sequences and Their Applications, pp. 49–66. Springer, London (1998) 10. : Sequences with low correlation. C. ) Handbook of Coding Theory, vol. II, pp. 1765–1853. NorthHolland, Amsterdam (1998) 11. : The weights of the orthogonal of the extended quadratic binary Goppa codes. IEEE Trans. Inform. Theory 36, 686–692 (1990) 12. : Finite fields. In: Encyclopedia of Mathematics and its Applications, vol. 20. Addison-Wesley, Reading (1983) 13.

Z + (Y 2 + yz) + [ 1 + β1 z 1 + β2 z 1 + β3 z Multiply this new equation by (1 + β1 z)(1 + β2 z)(1 + β3 z). Two cases can then occur, according to the values of γ. 36 C. Carlet et al. • Forγ = 0, we have γz + R1 (y, z) = 0, where R1 (y, z) is such that its every monomial has algebraic degree at least 1. This implies that (1 : 0 : 0) is a root of multiplicity 1. • For γ = 0, we can deduce that (y 2 + yz) + R2 (y, z) = 0 where R2 (y, z) is such that its every monomial has algebraic degree at least 2, which implies (1 : 0 : 0) is a root of multiplicity 2.

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