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- Amela Muratovic-Ribic, Enes Pasalic, Samed Bajric
- IEEE Transactions on Information Theory
- 2014

In this paper, we provide necessary and sufficient conditions for a function of the form F(x)=Trk<sup>2k</sup>(Σi=1<sup>t</sup>aix<sup>ri(2k</sup>-1)) to be bent. Three equivalent statements, all of them providing both the necessary and sufficient conditions, are derived. In particular, one characterization provides an interesting link between the… (More)

- Enes Pasalic, Amela Muratovic-Ribic, Samir Hodzic, Sugata Gangopadhyay
- IACR Cryptology ePrint Archive
- 2016

In this note, using rather elementary technique and the derived formula that relates the coefficients of a polynomial over a finite field and its derivative, we deduce many interesting results related to derivatives of Boolean functions and derivatives of mappings over finite fields. For instance, we easily identify several infinite classes of polynomials… (More)

- Amela Muratovic-Ribic, Enes Pasalic, Samir Ribic
- IEEE Trans. Information Theory
- 2014

- Amela Muratovic-Ribic
- Finite Fields and Their Applications
- 2007

- Amela Muratovic-Ribic, Qiang Wang
- Finite Fields and Their Applications
- 2012

- Amela Muratovic-Ribic, Qiang Wang
- Electr. J. Comb.
- 2013

In this paper we find an exact formula for the number of partitions of an element z into m parts over a finite field, i.e. we find the number of nonzero solutions of the equation x 1 + x 2 + · · · + x m = z over a finite field when the order of terms does not matter. This is equivalent to counting the number of m-multi-subsets whose sum is z. When the order… (More)

- Samed Bajric, Enes Pasalic, Amela Muratovic-Ribic, Sugata Gangopadhyay
- Inf. Process. Lett.
- 2014

In this paper, we present a characterization of a semi-multiplicative analogue of planar functions over finite fields. When the field is a prime field, these functions are equivalent to a variant of a doubly-periodic Costas array and so we call these functions Costas. We prove an equivalent conjecture of Golomb and Moreno that any Costas polynomial over a… (More)

- Gary L. Mullen, Amela Muratovic-Ribic, Qiang Wang
- ArXiv
- 2015

For any given polynomial f over the finite field Fq with degree at most q − 1, we associate it with a q × q matrix A(f) = (a ik) consisting of coefficients of its powers (f (x)) k = q−1 i=0 a ik x i modulo x q −x for k = 0, 1,. .. , q −1. This matrix has some interesting properties such as A(g • f) = A(f)A(g) where (g • f)(x) = g(f (x)) is the composition… (More)

- Amela Muratovic-Ribic, Enes Pasalic, Samir Ribic
- IEEE Transactions on Information Theory
- 2014

To identify and specify trace bent functions of the form Tr(P(x)), where P(x) ∈ F(2<sup>n</sup>)[x], has been an important research topic lately. We characterize a class of vectorial (hyper)bent functions of the form F(x) = Tr<sub>k</sub><sup>n</sup> (Σ<sub>i=0(</sub>2<sup>k</sup>) a<sub>i</sub>x<sup>i(</sup>(2<sup>k</sup>)<sup>-1)</sup>),… (More)