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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)

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

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)

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

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

- 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, Qiang Wang
- Finite Fields and Their Applications
- 2011

Article history: Received 17 December 2010 Revised 15 April 2011 Accepted 22 April 2011 Available online 7 May 2011 Communicated by Rudolf Lidl

- Amela Muratovic-Ribic, Enes Pasalic
- Finite Fields and Their Applications
- 2014

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

We show that, for any integer m with 3 < m ≤ min{p − 1, q/2} where q = pn > 9 there exists a multiset M satisfying that 0 ∈ M has the highest multiplicity q −m and P b∈M b = 0 such that every polynomial over the finite field Fq with the prescribed range M has degree greater than q−m. This implies that Conjecture 5.1 in [6] is false over any finite field Fq… (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)