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

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

Binary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(DSPs) in abelian groups are studied‎. ‎In addition to generalizing known 1-dimensional (sequences) examples‎, ‎we provide four new recursive constructions...

Full description

Bibliographic Details
Main Authors: K. T. Arasu, Anika Goyal, Abhishek Puri
Format: Article
Language:English
Published: University of Isfahan 2017-09-01
Series:Transactions on Combinatorics
Subjects:
‎autocorrelation‎
‎binary sequence‎
‎perfect sequence pair‎
‎difference set pair
Online Access:http://toc.ui.ac.ir/article_21466_7872b534dc27cd9c3fa2ab7a0cb15ba8.pdf
id doaj-637472478033403e8a155e9b126bd99e
record_format Article
spelling doaj-637472478033403e8a155e9b126bd99e2020-11-24T23:15:16ZengUniversity of IsfahanTransactions on Combinatorics2251-86572251-86652017-09-0163193610.22108/toc.2017.2146621466Binary sequence/array pairs via diference set pairs: A recursive approachK. T. Arasu0Anika Goyal1Abhishek Puri2Wright State UniversityDept. of Computer Engg., YMCA University of Science And Technology, Faridabad, HR 121006, IndiaDept. of Computer Engg., YMCA University of Science And Technology, Faridabad, HR 121006, IndiaBinary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(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.http://toc.ui.ac.ir/article_21466_7872b534dc27cd9c3fa2ab7a0cb15ba8.pdf‎autocorrelation‎‎binary sequence‎‎perfect sequence pair‎‎difference set pair
collection DOAJ
language English
format Article
sources DOAJ
author K. T. Arasu
Anika Goyal
Abhishek Puri
spellingShingle K. T. Arasu
Anika Goyal
Abhishek Puri
Binary sequence/array pairs via diference set pairs: A recursive approach
Transactions on Combinatorics
‎autocorrelation‎
‎binary sequence‎
‎perfect sequence pair‎
‎difference set pair
author_facet K. T. Arasu
Anika Goyal
Abhishek Puri
author_sort K. T. Arasu
title Binary sequence/array pairs via diference set pairs: A recursive approach
title_short Binary sequence/array pairs via diference set pairs: A recursive approach
title_full Binary sequence/array pairs via diference set pairs: A recursive approach
title_fullStr Binary sequence/array pairs via diference set pairs: A recursive approach
title_full_unstemmed Binary sequence/array pairs via diference set pairs: A recursive approach
title_sort binary sequence/array pairs via diference set pairs: a recursive approach
publisher University of Isfahan
series Transactions on Combinatorics
issn 2251-8657
2251-8665
publishDate 2017-09-01
description Binary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(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.
topic ‎autocorrelation‎
‎binary sequence‎
‎perfect sequence pair‎
‎difference set pair
url http://toc.ui.ac.ir/article_21466_7872b534dc27cd9c3fa2ab7a0cb15ba8.pdf
work_keys_str_mv AT ktarasu binarysequencearraypairsviadiferencesetpairsarecursiveapproach
AT anikagoyal binarysequencearraypairsviadiferencesetpairsarecursiveapproach
AT abhishekpuri binarysequencearraypairsviadiferencesetpairsarecursiveapproach
_version_ 1725591309252558848

Similar Items