Constructions of Punctured Difference Set Pairs and Their Corresponding Punctured Binary Array Pairs

Authors

• Krishnasamy T. Arasu, Wright State University - Main CampusFollow
• Deeksha Arya, YMCA University of Science and Technology
• Ankita Bakshi, YMCA University of Science and Technology

Document Type

Article

Publication Date

4-1-2015

Abstract

In this paper, we present some construction methods for punctured binary array/sequence pairs (PBAPs/PBSPs) with ideal/optimal correlation constant using their algebraic counterparts punctured difference set pairs in Abelian groups. In addition, we provide new construction techniques of PBAPs/PBSPs via geometry and also using the embeddable sequence pairs of smaller lengths to obtain larger ones. PBAPs/PBSPs find a plethora of applications in radar systems, cryptography, frame synchronization, mismatched filtering, and various other engineering fields.

Repository Citation

Arasu, K. T., Arya, D., & Bakshi, A. (2015). Constructions of Punctured Difference Set Pairs and Their Corresponding Punctured Binary Array Pairs. IEEE Transactions on Information Theory, 61 (4), 2191-2199.
https://corescholar.libraries.wright.edu/math/541

DOI

10.1109/TIT.2015.2403857