Abstract
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 q, integer residue ring modulo q, and the subset in the complex field which consists of powers of a primitive qth root of unity. We show a connection between these sequence designs and "completely noncyclic" Hadamard matrices and a construction for those sequences. We also provide some open problems along this direction.
| Original language | English |
|---|---|
| Pages (from-to) | 2575-2581 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 53 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 2007 Jul 1 |
All Science Journal Classification (ASJC) codes
- Information Systems
- Computer Science Applications
- Library and Information Sciences
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Gong, G., Golomb, S. W., & Song, H. Y. (2007). A note on low-correlation zone signal sets. IEEE Transactions on Information Theory, 53(7), 2575-2581. https://doi.org/10.1109/TIT.2007.899538