New constructions of complete non-cyclic hadamard matrices, related function families and LCZ sequences

Authors:
Krystal Guo;Guang Gong
Affiliations:
Department of Combinatorics and Optimizations, Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada;Department of Combinatorics and Optimizations, Department of Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, Canada
Venue:
SETA'10 Proceedings of the 6th international conference on Sequences and their applications
Year:
2010

Citing 9
Cited 0

Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar

Signal Design for Good Correlation: For Wireless Communication, Cryptography, and Radar
Williamson matrices up to order 59

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
A class of pseudonoise sequences over GF(P) with low correlation zone

IEEE Transactions on Information Theory
New constructions of quaternary low correlation zone sequences

IEEE Transactions on Information Theory
New Design of Low-Correlation Zone Sequence Sets

IEEE Transactions on Information Theory
New Sets of Optimal p-ary Low-Correlation Zone Sequences

IEEE Transactions on Information Theory
A Note on Low-Correlation Zone Signal Sets

IEEE Transactions on Information Theory
A New Class of Sequences With Zero or Low Correlation Zone Based on Interleaving Technique

IEEE Transactions on Information Theory

Quantified Score

Hi-index	0.00

Visualization

Abstract

A Hadamard matrix is said to be completely non-cyclic (CNC) if there are no two rows (or two columns) that are shift equivalent in its reduced form. In this paper, we present three new constructions of CNC Hadamard matrices. We give a primary construction using a flipping operation on the submatrices of the reduced form of a Hadamard matrix. We show that, up to some restrictions, the Kronecker product preserves the CNC property of Hadamard matrices and use this fact to give two secondary constructions of Hadamard matrices. The applications to construct low correlation zone sequences are provided.