Bent functions f: V_{n}ightarrow \\mathbb{F}_{p} f: V_{n}ightarrow \\mathbb{F}_{p} with certain additional properties play an important role in constructing partial difference sets, where V_{n} V_{n} denotes an n n -dimensional vector space over \\mathbb{F}_{p} \\mathbb{F...
Recently, several interesting constructions of vectorial Boolean functions with the maximum number of bent components (MNBC functions, for short) were proposed. However, many of them have component functions from the completed Maiorana-McFarland class. Moreover, no examples of MNBC functions containin...
Vectorial functions are functions from F2n to F2m. A vectorial function F(x1,…,xn)=(f1,…,fm) is an (n,m) bent function if any nonzero linear combination of f1,…,fm is a bent function. It is well known that vectorial bent functions are a special kind of perfect nonlinear funct...
Bent Partitions, Vectorial Dual-Bent Functions and Partial Difference Sets Bent partitions of V ( p ) n are quite powerful in constructing bent functions, vectorial bent functions and generalized bent functions, where V ( p ) n is an n -dimensional vector space over F p , n is an even...
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Bent Partition, Vectorial Dual-Bent Function, and LP-Packing Constructions We present secondary constructions of vectorial functions respectively partitions of elementary abelian groups, which simultaneously yield vectorial dual-b... S Alkan,N Anbar,T Kalayci,... - 《IEEE Transactions on Information ...
Dual of a bent functionMotivated by the observation that for two (weakly regular) bent functions f,g f , g mathContainer Loading Mathjax for which also f+g f + g mathContainer Loading Mathjax is bent, the sum f +g f + g mathContainer Loading Mathjax of their duals f f math...
Vectorial bent functions and their dualsVectorial bent functionsDual of a bent functionMotivated by the observation that for two (weakly regular) bent functions f, g for which also f + g is bent, the sum f* + g* of their duals f and g* is sometimes but not always bent, we initiate...
If there is only one ai ≠ 0,we recover the constructions of Sidelnikov, Dembowski-Ostrom and Kasami of quadraticvectorial bent functions. We then construct two classes of linear codes C'_Q and C_Q over F_q from Q and completely determine the weight distributions of our codes, showing ...
Ribic´, "Vectorial hyperbent trace functions from the PSap class--Their exact number and specification," IEEE Trans. Inf. Theory, vol. 60, no. 7, pp. 4408-4413, Jul. 2014.Muratovic-Ribic A, Pasalic E, Ribic S. Vectorial HyperBent Trace Functions From the PSap Class--Their Exact ...