p-Ary and q-ary versions of certain results about bent functions and resilient functions
نویسندگان
چکیده
منابع مشابه
Some results on q-ary bent functions
Kumar et al.(1985) have extended the notion of classical bent Boolean functions in the generalized setup on Zq . They have provided an analogue of classical Maiorana-McFarland type bent functions. In this paper, we study the crosscorrelation of a subclass of such generalized MaioranaMcFarland (GMMF) type bent functions. We provide a construction of quaternary (q = 4) bent functions on n + 1 var...
متن کاملNew infinite families of p-ary weakly regular bent functions
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...
متن کاملA 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...
متن کاملOn the normality of p-ary bent functions
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2004
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2003.12.004