Modifications of Modified Jacobi Sequences

Autor:	Jonathan I. Hall, Tingyao Xiong
Rok vydání:	2011
Předmět:	Combinatorics Character (mathematics) Complementary sequences Merit factor Binary number Library and Information Sciences Base (topology) Legendre polynomials Upper and lower bounds Pseudorandom binary sequence Computer Science Applications Information Systems Mathematics
Zdroj:	IEEE Transactions on Information Theory. 57:493-504
ISSN:	1557-9654 0018-9448
Popis:	The known families of binary sequences having asymptotic merit factor 6.0 are modifications to the families of Legendre sequences and Jacobi sequences. In this paper, we show that at N = pq, there are many suitable modifications other than the Jacobi or modified Jacobi sequences. Furthermore, we will give three new modifications to the character sequences of length N = pq. Based on these new modifications, for any pair of large p and q, we can construct a binary sequence of length 2pq so that such families of sequences have asymptotic merit factor 6.0 without cyclic shifting of the base sequences.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f400908b6ed39df924d3db78bbc8cbcd https://doi.org/10.1109/tit.2010.2090271 Zobrazit plný text záznamu