Let p be a prime and n a positive integer. Let en-1 and N= pn-1/e. In this paper, we construct a family S of e2N p-ary sequences, each member of S has period N and the magnitudes of correlations of members of S are upper bounded by 2√pn= 2√eN+1.
Bibliographical noteFunding Information:
Manuscript received February 16, 2011; revised May 24, 2011; accepted June 07, 2011. Date of current version November 11, 2011. This work was supported in part by the National Foundation (NRF) of Korea Grant funded by the Korean Government (2009-0072514) and in part by the Basic Science Research Program through the National Research Foundation (NRF) of Korea funded by the Ministry of Education, Science and Technology (2009-0083888). D. S. Kim is with the Department of Mathematics, Sogang University, Seoul, South Korea (e-mail: firstname.lastname@example.org). H.-J. Chae is with the Department of Mathematics Education, Hongik University, Seoul, South Korea (e-mail: email@example.com). H.-Y. Song is with the School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea (e-mail: firstname.lastname@example.org). Communicated by N. Y. Yu, Associate Editor for Sequences. Digital Object Identifier 10.1109/TIT.2011.2159576
All Science Journal Classification (ASJC) codes
- Information Systems
- Computer Science Applications
- Library and Information Sciences