Butson Hadamard matrices with partially cyclic core
Designs, Codes and Cryptography
Design of M-Ary Low Correlation Zone Sequence Sets by Interleaving
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
New Families of Binary Low Correlation Zone Sequences Based on Interleaved Quadratic Form Sequences
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
New sequence families with zero or low correlation zone via interleaving techniques
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
Design of low correlation zone sequence sets of period kN
ISIT'09 Proceedings of the 2009 IEEE international conference on Symposium on Information Theory - Volume 1
New sets of zero or low correlation zone sequences via interleaving techniques
IEEE Transactions on Information Theory
Binary almost-perfect sequence sets
IEEE Transactions on Information Theory
On the noncyclic property of Sylvester Hadamard matrices
IEEE Transactions on Information Theory
Low correlation zone sequences
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
A new class of quaternary LCZ sequence sets
Designs, Codes and Cryptography
Odd perfect sequences and sets of spreading sequences with zero or low odd periodic correlation zone
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
| Hi-index | 755.02 |
In this correspondence, three methods of constructing low-correlation zone (LCZ) sequences are proposed. In the first method, we constructed binary LCZ sequence sets of period 2n-1 using the Legendre sequences of period 2m-1 as a column sequence when m|n. In the second method, we devise a column sequence set of length 2m+1-1 from a binary sequence of period 2m-1 having ideal autocorrelation property and this column sequence set is used to construct binary LCZ sequence sets of period 2 n-1 when (m+1)|n. In the third method, p-ary LCZ sequence sets are constructed by adopting p-ary sequence of period pm-1 with ideal autocorrelation for integers n and m such that m|n as a column sequence. The second and third methods give us the optimal sets with respect to the bound by Tang, Fan, and Matsufuji. Finally, a construction method of pntimespn p-ary Hadamard matrices from optimal LCZ sequence sets is proposed