Şaban Alaca

collaborators

3 papers

cs.IT2022

Low-Density Spreading Design Based on an Algebraic Scheme for NOMA Systems

Goldwyn Millar, Michel Kulhandjian, Ayse Alaca +3

NOMA) technique based on an algebraic design is studied. We propose an improved low-density spreading (LDS) sequence design based on projective geometry. In terms of its bit error…

math.NT2016

Explicit Evaluation of Double Gauss Sums

Şaban Alaca, Greg Doyle

We present an explicit evaluation of the double Gauss sum $G (a, b, c; S; p^{n}) := x, y = 0 \sum p^{n} - 1 e^{2 π i S (a x^{2} + b x y + c y^{2}) / p^{n}}$ , where $a, b, c$ are integers such that…

math.NT2016

The convolution sum $\sum_{a l + bm = n} σ (l) σ (m)$ for $(a, b) = (1, 28), (4, 7), (1, 14), (2, 7), (1, 7)$

Ayşe Alaca, Şaban Alaca, Ebénézer Ntienjem

We evaluate the convolution sum $W_{a, b} (n) := a l + bm = n \sum σ (l) σ (m)$ for $(a, b) = (1, 28), (4, 7), (2, 7)$ for all positive integers $n$ . We use a modular…

Low-Density Spreading Design Based on an Algebraic Scheme for NOMA Systems

Explicit Evaluation of Double Gauss Sums

The convolution sum ∑al+bm=n​σ(l)σ(m) for (a,b)=(1,28),(4,7),(1,14),(2,7),(1,7)

The convolution sum $\sum_{a l + bm = n} σ (l) σ (m)$ for $(a, b) = (1, 28), (4, 7), (1, 14), (2, 7), (1, 7)$