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Journal of Algebraic Combinatorics

, Volume 50, Issue 1, pp 1–38 | Cite as

New families of optimal high-energy ternary sequences having good correlation properties

  • Jeffrey R. HollonEmail author
  • Muralidhar Rangaswamy
  • Pawan Setlur
Article
  • 55 Downloads

Abstract

We employ algebraic methods to provide some new constructions of what we call optimal high-energy ternary sequences (a sequence with entries in \(\{0,1,-1\}\) with a single zero, having optimal correlation properties). Our motivation for these constructions stems from their usefulness in several areas related to communication and radar systems.

Keywords

Sequences Difference sets Correlation Partial difference sets 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Jeffrey R. Hollon
    • 1
    Email author
  • Muralidhar Rangaswamy
    • 2
  • Pawan Setlur
    • 3
  1. 1.Department of Mathematics and StatisticsWright State UniversityDaytonUSA
  2. 2.Air Force Research LabWright Patterson Air Force BaseDaytonUSA
  3. 3.Radar Assessment and Development LabRiverside ResearchBeavercreekUSA

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