Liu, Zilong and Guan, Yong Liang and Parampalli, Udaya (2013) On optimal binary Z-complementary pair of odd period. In: 2013 IEEE International Symposium on Information Theory (ISIT), 2013-07-07 - 2013-07-12, Istanbul, Turkey.
Liu, Zilong and Guan, Yong Liang and Parampalli, Udaya (2013) On optimal binary Z-complementary pair of odd period. In: 2013 IEEE International Symposium on Information Theory (ISIT), 2013-07-07 - 2013-07-12, Istanbul, Turkey.
Liu, Zilong and Guan, Yong Liang and Parampalli, Udaya (2013) On optimal binary Z-complementary pair of odd period. In: 2013 IEEE International Symposium on Information Theory (ISIT), 2013-07-07 - 2013-07-12, Istanbul, Turkey.
Abstract
In this paper we introduce the optimal odd-period binary Z-complementary pairs (OB-ZCPs), which display properties similar to Golay complementary pairs. These pairs have the maximum possible zero-correlation-zone (ZCZ) of width (N + 1)/2, where N denotes the sequence length, and the minimum possible magnitude of 2 for each out-of-zone aperiodic auto-correlation sum. Furthermore, we show that the optimal OB-ZCPs correspond to sets of almost difference families and present some of their interesting properties.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Additional Information: | Published proceedings: 2013 IEEE International Symposium on Information Theory |
| Uncontrolled Keywords: | Correlation, Information theory, Equations, Educational institutions, Australia, Electronic mail, Multiaccess communication |
| Divisions: | Faculty of Science and Health > Computer Science and Electronic Engineering, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 27 Aug 2026 10:12 |
| Last Modified: | 27 Aug 2026 10:12 |
| URI: | http://repository.essex.ac.uk/id/eprint/31272 |
Available files
Filename: On optimal binary Z-complementary pair of odd period.pdf