Optimal frequency-hopping sequences via cyclotomy

Wensong Chu, Charles Colbourn

Research output: Contribution to journalArticlepeer-review

115 Scopus citations


Using cyclotomic numbers, a simple construction is presented for frequency-hopping (FH) sequences having optimal autocorrelation with respect to the well-known Lempel-Greenberger bound. Some optimal families of FH sequences are constructed. The simplicity of this technique makes it attractive for practical use.

Original languageEnglish (US)
Pages (from-to)1139-1141
Number of pages3
JournalIEEE Transactions on Information Theory
Issue number3
StatePublished - Mar 2005


  • Cyclotomy
  • Frequency-hopping (FH) sequence

ASJC Scopus subject areas

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


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