Sang-Man Lee

collaborators

3 papers

cs.IT2017

Rudin-Shapiro-Like Sequences with Maximum Asymptotic Merit Factor

Daniel J. Katz, Sangman Lee, Stanislav A. Trunov

Borwein and Mossinghoff investigated the Rudin-Shapiro-like sequences, which are infinite families of binary sequences, usually represented as polynomials. Each family of Rudin-Sha…

cs.IT2017

Crosscorrelation of Rudin-Shapiro-Like Polynomials

Daniel J. Katz, Sangman Lee, Stanislav A. Trunov

We consider the class of Rudin-Shapiro-like polynomials, whose $L^{4}$ norms on the complex unit circle were studied by Borwein and Mossinghoff. The polynomial $f(z)=f_0+f_1 z + \cdo…

math.NT2016

The $p$ -Adic Valuations of Weil Sums of Binomials

Daniel J. Katz, Philippe Langevin, Sangman Lee +1

We investigate the $p$ -adic valuation of Weil sums of the form $W_{F, d} (a) = \sum_{x \in F} ψ (x^{d} - a x)$ , where $F$ is a finite field of characteristic $p$ , $ψ$ is the canonical addi…

Rudin-Shapiro-Like Sequences with Maximum Asymptotic Merit Factor

Crosscorrelation of Rudin-Shapiro-Like Polynomials

The p-Adic Valuations of Weil Sums of Binomials

The $p$ -Adic Valuations of Weil Sums of Binomials