WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
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 …
K Nowak - arXiv preprint arXiv:1409.0114, 2014 - arxiv.org
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 …
Y Sun, Q Wang, T Yan - Cryptography and Communications, 2019 - Springer
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 …
W Su, Y Yang, Z Zhou, X Tang - Science China Information Sciences, 2018 - Springer
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 …
S Qiang, X Jing, M Yang, K Feng - arXiv preprint arXiv:2105.13826, 2021 - arxiv.org
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 …
Y Sun, Q Wang, T Yan - Cryptography and Communications, 2018 - Springer
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 …
H Xiong, L Qu, C Li - Finite Fields and Their Applications, 2015 - Elsevier
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 …
N Li, X Tang - IEEE transactions on information theory, 2011 - ieeexplore.ieee.org
Three classes of binary sequences of period 4 N with optimal autocorrelation value/magnitude have been constructed by Tang and Gong based on interleaving certain …
W Su, Y Yang, C Fan - Designs, Codes and Cryptography, 2018 - Springer
Binary sequences play important roles in radar, communication, and cryptography. Finding new binary sequences with optimal autocorrelation value/magnitude has been an …