Lattice rules are particular instances of quasi-Monte Carlo rules for numerical integration of
functions over the 𝑑-dimensional unit cube [0, 1] 𝑑, where the emphasis lies on high …

The use of big data leads to higher demands for hyperscale data centers (HDCs) in terms of
the scale and quantity required for data storage and processing. Before the construction of …

Hu introduced a simple method to compute the 2-adic complexity of any periodic binary
sequence with ideal two-level autocorrelation. We extend this approach to some other …

The correlation measure of order k is an important measure of pseudorandomness for binary
sequences. This measure tries to look for dependence between several shifted versions of a …

We estimate mixed character sums of polynomial values over elements of a finite field F qr
F_q^r with sparse representations in a fixed ordered basis over the subfield F q F_q. First we …

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We give the first general constructions of even length quaternary Legendre pairs: there is a
quaternary Legendre pair of length $(q-1)/2$ for every prime power $ q $ congruent to $1 …

Many automatic sequences, such as the Thue-Morse sequence or the Rudin-Shapiro
sequence, have some desirable features of pseudorandomness such as a large linear …

In this paper, an appropriate algorithm for assessing numerical integration is proposed from
a practical viewpoint, which takes “good lattice point”(GLP) and uniform design method as …

Costas arrays are fundamental to the operation of radar and sonar systems, yet it is still an
open problem how to generate a Costas array for an arbitrary length. A way to improve …