S. Alaca

collaborators

3 papers

math.CO2018

Shift-Inequivalent Decimations of the Sidelnikov-Lempel-Cohn-Eastman Sequences

Saban Alaca, Goldwyn Millar

We consider the problem of finding maximal sets of shift-inequivalent decimations of Sidelnikov-Lempel-Cohn-Eastman (SLCE) sequences (as well as the equivalent problem of determini…

math.NT2016

A family of Eta Quotients and an Extension of the Ramanujan-Mordell Theorem

Ayse Alaca, Saban Alaca, Zafer Selcuk Aygin

Let $k \geq 2$ be an integer and $j$ an integer satisfying $1 \leq j \leq 4 k - 5$ . We define a family ${C_{j, k} (z)}_{1 \leq j \leq 4 k - 5}$ of eta quotients, and prove that this fami…

cs.IT2016

Character Values of the Sidelnikov-Lempel-Cohn-Eastman Sequences

Şaban Alaca, Goldwyn Millar

Binary sequences with good autocorrelation properties and large linear complexity are useful in stream cipher cryptography. The Sidelnikov-Lempel-Cohn-Eastman (SLCE) sequences have…