Cross-correlation distribution of p-ary m-sequence of period p(4k)-1 and its decimated sequences by (p(2k)+1/2)(2)
- Authors
- Seo, Eun-Young; Kim, Young-Sik; No, Jong-Seon; Shin, Dong-Joon
- Issue Date
- Jul-2008
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- p-ary m-sequences; cross-correlation; cross-correlation distribution; decimation; sequences
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, v.54, no.7, pp.3140 - 3149
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON INFORMATION THEORY
- Volume
- 54
- Number
- 7
- Start Page
- 3140
- End Page
- 3149
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/178198
- DOI
- 10.1109/TIT.2008.924694
- ISSN
- 0018-9448
- Abstract
- For an odd prime p, n = 4k, and d = ((p(2k) +1)/2)(2), there are (p(2k) + 1)/2 distinct decimated sequences s(dt + l), 0 <= l < (p(2k) + 1)/2, of a p-ary m-sequence s(t) of period p(n) - 1 because gcd(d,p(n) - 1) = (p(2k) + 1)/2. In this paper, it is shown that the cross-correlation function between s(t) and s(dt + l), 0 <= l < (p(2k) + 1)/2, takes the values in {-1, -1 - root p(n), -1 + root p(n), -1 + 2 root p(n)} and their cross-correlation distribution is also derived.
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