Binary sequence/array pairs via diference set pairs: A recursive approach

Document Type : Research Paper

Authors

1 Wright State University

2 Dept. of Computer Engg., YMCA University of Science And Technology, Faridabad, HR 121006, India

Abstract

Binary array pairs with optimal/ideal correlation values and their algebraic counterparts "difference set pairs" (DSPs) in abelian groups are studied. In addition to generalizing known 1-dimensional (sequences) examples, we provide four new recursive constructions, unifying previously obtained ones. Any further advancements in the construction of binary sequences/arrays with optimal/ideal correlation values (equivalently cyclic/abelian difference sets) would give rise to richer classes of DSPs (and hence binary perfect array pairs). Discrete signals arising from DSPs find applications in cryptography, CDMA systems, radar and wireless communications.

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References

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Transactions on Combinatorics
Volume 6, Issue 3 - Serial Number 3
September 2017
Pages 19-36

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History

  • Receive Date: 16 February 2015
  • Revise Date: 31 August 2016
  • Accept Date: 06 September 2016
  • Published Online: 01 September 2017

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