A Family of p-ary Binomial Bent Functions
نویسندگان
چکیده
منابع مشابه
A Family of p-ary Binomial Bent Functions
For a prime p with p ≡ 3 (mod 4) and an odd number m, the Bentness of the p-ary binomial function fa,b(x) = Tr1 (ax pm−1) + Tr1(bx pn−1 4 ) is characterized, where n = 2m, a ∈ Fpn , and b ∈ Fp2 . The necessary and sufficient conditions of fa,b(x) being Bent are established respectively by an exponential sum and two sequences related to a and b. For the special case of p = 3, we further characte...
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The characterization and construction of bent functions are challenging problems. The paper generalizes the constructions of Boolean bent functions by Mesnager [33], Xu et al. [40] and p-ary bent functions by Xu et al. [41] to the construction of p-ary weakly regular bent functions and presents new infinite families of p-ary weakly regular bent functions from some known weakly regular bent func...
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In this work, the normality of bent functions in odd characteristic is analysed. It turns out that differently to Boolean bent functions, many also quadratic bent functions in odd characteristic and even dimension are not normal. It is shown that regular Coulter-Matthews bent functions are normal.
متن کاملStrongly regular graphs constructed from p-ary bent functions
In this paper, we generalize the construction of strongly regular graphs in Tan et al. (J. Comb. Theory, Ser. A 117:668–682, 2010) from ternary bent functions to p-ary bent functions, where p is an odd prime. We obtain strongly regular graphs with three types of parameters. Using certain non-quadratic p-ary bent functions, our constructions can give rise to new strongly regular graphs for small...
متن کاملOn p-ary Bent Functions Defined on Finite Fields
It is known that a bent function corresponds to a perfect nonlinear function, which makes it difficult to do the differential cryptanalysis in DES and in many other block ciphers. In this paper, for an odd prime p, quadratic p-ary bent functions defined on finite fields are given from the families of p-ary sequences with optimal correlation property. And quadratic p-ary bent functions, that is,...
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ژورنال
عنوان ژورنال: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
سال: 2011
ISSN: 0916-8508,1745-1337
DOI: 10.1587/transfun.e94.a.1868