By Serdar Boztas, Hsiao-feng Lu
This e-book constitutes the refereed court cases of the seventeenth overseas Symposium on utilized Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007.
The 33 revised complete papers provided including eight invited papers have been conscientiously reviewed and chosen from sixty one submissions. one of the topics addressed are block codes, together with list-decoding algorithms; algebra and codes: earrings, fields, algebraic geometry codes; algebra: earrings and fields, polynomials, diversifications, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.
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Additional info for Applied algebra, algebraic algorithms and error-correcting codes: 17th international symposium, AAECC-17, Bangalore, India, December 16-20, 2007: proceedings
We write g(Ha ) to denote the value of g at any element of Ha . We must now distinguish some cases in order to ﬁnish the proof. If λ = 0 then it is easy to check that f |H (λ) = 2t . For the remainder, assume λ = 0. First we assume that H does not contain any Ha . Then each Ha is a hyperplane in Ha . The inner summation is 0 unless λ vanishes on Ha , and there are precisely two such a for any λ, as λ = 0. So f |H (λ) = ±2t−1 ± 2t−1 which is 0 or ±2t . Secondly, assume that H does contain one of the Ha , say H .
INDOCRYPT 2007. LNCS, vol. 4859, Springer, Heidelberg (2007) 10. Kurosawa, K. ): ASIACRYPT 2007. LNCS, vol. 4833. ie Abstract. We will discuss two diﬀerent but related topics. We ﬁrst give a connection between the Fourier spectrum of Boolean functions and subspaces of skew-symmetric subspaces where each nonzero element has a lower bound on its rank. Secondly, we discuss some connections between bent and near-bent functions. 1 Introduction Let Vn denote any n-dimensional vector space over F2 .
For example, the value of LS (n, n − 1, F ) is not known if F is an inﬁnite ﬁeld. The conjectured value is n, as in the ﬁnite ﬁeld case. This is one area for future work. 1. Gow and Quinlan  have generalised some results on bilinear forms over ﬁnite ﬁelds to arbitrary ﬁeld extensions with a cyclic Galois group. In particular we quote the following theorem, which we will use. Theorem 1. Let L/K be a cyclic extension of degree n, with Galois group generated by σ. Let k be an integer with 1 ≤ k ≤ n, and let w be a polynomial of degree k in L[t].