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 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 constructions of ZCZ sequence sets based on affine transformations
WiCOM'09 Proceedings of the 5th International Conference on Wireless communications, networking and mobile computing
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
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, we present a connection between designing low-correlation zone (LCZ) sequences and the results of correlation of sequences with subfield decompositions presented in a recent book by the first two authors. This results in LCZ signal sets with huge sizes over three different alphabetic sets: finite field of size, integer residue ring modulo , and the subset in the complex field which consists of powers of a primitive th root of unity. We show a connection between these sequence designs and ldquocompletely noncyclicrdquo Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.