A. Kholosha

activity

20072026

most citedNew Binomial Bent Function over the Finite Fields of Odd Characteristic

5 citations · 10 across the 9 of their papers we have counts for

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cs.DM2025

Ternary Binomial and Trinomial Bent Functions in the Completed Maiorana-McFarland Class

Tor Helleseth, Alexander Kholosha, Niki Spithaki

Two classes of ternary bent functions of degree four with two and three terms in the univariate representation that belong to the completed Maiorana-McFarland class are found. Bino…

cs.DM2014

Univariate Niho Bent Functions from o-Polynomials

Lilya Budaghyan, Alexander Kholosha, Claude Carlet +1

In this paper, we discover that any univariate Niho bent function is a sum of functions having the form of Leander-Kholosha bent functions with extra coefficients of the power term…

cs.DM2010

Sequences, Bent Functions and Jacobsthal sums

Tor Helleseth, Alexander Kholosha

The $p$ -ary function $f (x)$ mapping $GF (p^{4 k})$ to $GF (p)$ and given by $f (x) = Tr_{4 k} (a x^{d} + b x^{2})$ with $a, b \in GF (p^{4 k})$ and $d=p^{3k}+p^…

cs.DM2009★ 5 cited

New Binomial Bent Function over the Finite Fields of Odd Characteristic

Tor Helleseth, Alexander Kholosha

The $p$ -ary function $f (x)$ mapping $GF (p^{4 k})$ to $GF (p)$ given by $f (x) = Tr_{4 k} (x^{p^{3 k} + p^{2 k} - p^{k} + 1} + x^{2})$ is proven to be a weakly regular be…

cs.DM2008★ 1 cited

On the Equation $x^{2^{l} + 1} + x + a = 0$ over $GF (2^{k})$ (Extended Version)

Tor Helleseth, Alexander Kholosha

In this paper, the polynomials $P_{a} (x) = x^{2^{l} + 1} + x + a$ with $a \in GF (2^{k})$ are studied. New criteria for the number of zeros of $P_{a} (x)$ in $GF (2^{k})$ are proved. In…

cs.DM2007

$m$ -Sequences of Different Lengths with Four-Valued Cross Correlation

Tor Helleseth, Alexander Kholosha, Aina Johanssen

{\bf Abstract.} Considered is the distribution of the cross correlation between $m$ -sequences of length $2^{m} - 1$ , where $m$ is even, and $m$ -sequences of shorter length $2^{m /2} - 1$ .…

Ternary Binomial and Trinomial Bent Functions in the Completed Maiorana-McFarland Class

Univariate Niho Bent Functions from o-Polynomials

Sequences, Bent Functions and Jacobsthal sums

New Binomial Bent Function over the Finite Fields of Odd Characteristic

On the Equation x2l+1+x+a=0 over GF(2k) (Extended Version)

m-Sequences of Different Lengths with Four-Valued Cross Correlation

On the Equation $x^{2^{l} + 1} + x + a = 0$ over $GF (2^{k})$ (Extended Version)

$m$ -Sequences of Different Lengths with Four-Valued Cross Correlation