[图书][B] Recurrence sequences

G Everest, AJ Van Der Poorten, I Shparlinski, T Ward - 2003 - ams.org
The importance of recurrence sequences hardly needs to be explained. Their study is
plainly of intrinsic interest and has been a central part of number theory for many years …

[HTML][HTML] Cyclic codes over Z4 of oddly even length

T Blackford - Discrete Applied Mathematics, 2003 - Elsevier
This paper classifies all cyclic codes over Z4 of length 2n, n odd. Descriptions are given in
terms of discrete Fourier transforms, generator polynomials, parity check matrices, and the …

Constructions of optimal and near-optimal quasi-complementary sequence sets from Singer difference sets

Z Liu, U Parampalli, YL Guan… - IEEE Wireless …, 2013 - ieeexplore.ieee.org
Compared with the perfect complementary sequence sets, quasi-complementary sequence
sets (QCSSs) have the advantage of supporting more users in multicarrier CDMA …

Nonbinary sequences with perfect and nearly perfect autocorrelations

S Boztaş, U Parampalli - 2010 IEEE International Symposium …, 2010 - ieeexplore.ieee.org
The design of pseudorandom sequences with optimal correlation properties forms a crucial
part of communications and radar engineering. Perfect autocorrelation sequences are …

A family of polyphase sequences with asymptotically optimal correlation

Z Zhou, T Helleseth… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Sequences with low correlation have important applications in communications, radar, and
cryptography. In this paper, a simple construction of polyphase sequences using additive …

Construction of a near-optimal quasi-complementary sequence set from almost difference set

Y Li, T Yan, C Lv - Cryptography and Communications, 2019 - Springer
Compared with the perfect complementary sequence sets, quasi-complementary sequence
sets (QCSSs) can support more users to work in multicarrier CDMA communications. A near …

A note on the optimal quadriphase sequences families

XH Tang, P Udaya - IEEE transactions on information theory, 2006 - ieeexplore.ieee.org
In this note, by using a modification of the families B and C, we obtain a larger family of
optimal quadriphase sequences, D over Z 4. In contrast to the families B and C, the family D …

Generalized GMW quadriphase sequences satisfying the Welch bound with equality

P Udaya, MU Siddiqi - Applicable Algebra in Engineering, Communication …, 2000 - Springer
This paper gives new families of quadriphase sequences obtained from large linear
complexity sequences over Z 4 by making use of generalized permutation monomials over …

Linear complexity of quaternary sequences over Z_4 derived from generalized cyclotomic classes modulo 2p

Z Chen, V Edemskiy - arXiv preprint arXiv:1603.05086, 2016 - arxiv.org
We determine the exact values of the linear complexity of 2p-periodic quaternary sequences
over Z_4 (the residue class ring modulo 4) defined from the generalized cyclotomic classes …

Linear complexity and trace representation of quaternary sequences over based on generalized cyclotomic classes modulo pq

Z Chen - Cryptography and Communications, 2017 - Springer
We define a family of quaternary sequences over the residue class ring modulo 4 of length
pq, a product of two distinct odd primes, using the generalized cyclotomic classes modulo pq …