This is the first monograph on codebooks and linear codes from difference sets and almost
difference sets. It aims at providing a survey of constructions of difference sets and almost …

Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

Let $ G $ be an additive group of order $ v $. A $ k $-element subset $ D $ of $ G $ is called
a $(v, k,\lambda, t) $-almost difference set if the expressions $ gh^{-1} $, for $ g $ and $ h …

Sequences with low auto-correlation property have been applied in code-division multiple
access communication systems, radar and cryptography. Using the inverse Gray mapping, a …

Let p, q be distinct primes satisfying gcd (p− 1, q− 1)= d and let D i, i= 0, 1,···, d− 1, be
Whiteman's generalized cyclotomic classes with ℤ pq∗=∪ i= 0 d− 1 D i Z_pq^∗=∪_i=0^d …

Tang and Ding\cite {X. Tang} present a series of quaternary sequences $ w (a, b) $
interleaved by two binary sequences $ a $ and $ b $ with ideal autocorrelation and show …

Pseudo-random sequences with good statistical properties, such as low autocorrelation,
high linear complexity and large 2-adic complexity, have been used in designing reliable …

In this paper, 2-adic complexity of some binary sequences with interleaved structure is
investigated. Firstly, 2-adic complexity of low correlation zone (LCZ) sequences constructed …

Binary sequences play important roles in radar, communication, and cryptography. Finding
new binary sequences with optimal autocorrelation value/magnitude has been an …

Recently, a class of binary sequences with optimal autocorrelation magnitude has been
presented by Su et al. based on Ding-Helleseth-Lam sequences and interleaving technique …