A note on low-correlation zone signal sets

Guang Gong, Solomon W. Golomb, Hong Yeop Song

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41 Citations (Scopus)


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 languageEnglish
Pages (from-to)2575-2581
Number of pages7
JournalIEEE Transactions on Information Theory
Issue number7
Publication statusPublished - 2007 Jul

Bibliographical note

Funding Information:
Manuscript received February 25, 2006; revised September 14, 2006. The work of H.-Y. Song was supported by the Basic Research Program of the Korea Science & Engineering Foundation under Grant (R01-2003-000-10330-0). The material in this correspondence was presented in part at the 2006 Conference of Information Sciences and Systems, Princeton University, Princeton, NJ, March 2006.

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


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