On the Cross-Correlation of a p-Ary m-Sequence of Period p(2m)-1 and Its Decimated Sequences by (p(m)+1)(2)/2(p+1)
- Authors
- Choi, Sung-Tai; Lim, Taehyung; No, Jong-Seon; Chung, Habong
- Issue Date
- Mar-2012
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Cross-correlation; decimated sequence; m-sequence; nonbinary sequence; quadratic form; sequence family
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, v.58, no.3, pp.1873 - 1879
- Journal Title
- IEEE TRANSACTIONS ON INFORMATION THEORY
- Volume
- 58
- Number
- 3
- Start Page
- 1873
- End Page
- 1879
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/19007
- DOI
- 10.1109/TIT.2011.2177573
- ISSN
- 0018-9448
- Abstract
- In this paper, for an odd prime p, we investigate into the cross-correlation of a p-ary m-sequence m(t) of period p(n) - 1 and its d-decimated sequences m(dt + l), 0 <= l < p(m)+1/2, where d = (p(m)+1)(2)/2(p+1), n = 2m, and m is an odd integer. There are p(m)+1/2 distinct decimated sequences m(dt + l) since gcd(d, p(n) - 1) = (p(m)+1)/2. It is shown that the magnitude of the cross-correlation values is upper bounded by p+1/2 p(n/2) + 1. We also construct the sequence family F from these sequences, where the family size is p(m) and the correlation magnitude is upper bounded by p+1/2 p(n/2) + 1.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Engineering > School of Electronic & Electrical Engineering > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.