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Binary sequence/array pairs via diference set pairs: A recursive approach | ||
| Transactions on Combinatorics | ||
| مقاله 3، دوره 6، شماره 3، آذر 2017، صفحه 19-36 اصل مقاله (268.6 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2017.21466 | ||
| نویسندگان | ||
| K. T. Arasu* 1؛ Anika Goyal2؛ Abhishek Puri2 | ||
| 1Wright State University | ||
| 2Dept. of Computer Engg., YMCA University of Science And Technology, Faridabad, HR 121006, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| autocorrelation؛ binary sequence؛ perfect sequence pair؛ difference set pair | ||
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| مراجع | ||
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