Daniel Katz

collaborators

2 papers

cs.IT2021

Sets of Low Correlation Sequences from Cyclotomy

Jonathan M. Castello, Daniel J. Katz, Jacob M. King +1

Low correlation (finite length) sequences are used in communications and remote sensing. One seeks codebooks of sequences in which each sequence has low aperiodic autocorrelation a…

math.NT2014

Proof of a Conjectured Three-Valued Family of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin

We consider Weil sums of binomials of the form $W_{F, d} (a) = \sum_{x \in F} ψ (x^{d} - a x)$ , where $F$ is a finite field, $ψ : F \to C$ is the canonical additive character,…