T. Helleseth

most citedProofs of two conjectures on ternary weakly regular bent functions

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2008★ 1 cited

Proofs of two conjectures on ternary weakly regular bent functions

Tor Helleseth, Henk D. L. Hollmann, Alexander Kholosha +2

We study ternary monomial functions of the form $f(x)=\Tr_n(ax^d)$, where $x\in \Ff_{3^n}$ and $\Tr_n: \Ff_{3^n}\to \Ff_3$ is the absolute trace function. Using a lemma of Hou \cit…

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 $2^{m /2} - 1$ .…

cs.CR2007

Characterization of $m$ -Sequences of Lengths $2^{2 k} - 1$ and $2^{k} - 1$ with Three-Valued Crosscorrelation

Tor Helleseth, Alexander Kholosha, Geir Jarle Ness

Considered is the distribution of the crosscorrelation between $m$ -sequences of length $2^{m} - 1$ , where $m = 2 k$ , and $m$ -sequences of shorter length $2^{k} - 1$ . New pairs of $m$ -sequence…

Proofs of two conjectures on ternary weakly regular bent functions

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

Characterization of m-Sequences of Lengths 22k−1 and 2k−1 with Three-Valued Crosscorrelation

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

Characterization of $m$ -Sequences of Lengths $2^{2 k} - 1$ and $2^{k} - 1$ with Three-Valued Crosscorrelation