Cross-correlation distribution of p-ary m-sequence and its p+1 decimated sequences with shorter period
- Authors
- Seo, Eun Young; Kim, Young Sik; No, Jong Seon; Shin, Dong Joon
- Issue Date
- Nov-2007
- Publisher
- IEICE-INST ELECTRONICS INFORMATION COMMUNICATIONS ENG
- Keywords
- cross-correlation; p-ary m-sequences; sequences
- Citation
- IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, v.E90A, no.11, pp.2568 - 2574
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
- Volume
- E90A
- Number
- 11
- Start Page
- 2568
- End Page
- 2574
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179385
- DOI
- 10.1093/ietfec/e90-a.11.2568
- ISSN
- 1745-1337
- Abstract
- In this paper, the cross-correlation distribution between a p-ary m-sequence s(t) and its p + 1 distinct decimated sequences s(dt + l) is derived. For an odd prime p, an even integer n, and d = p(k) + 1 with gcd(n, k) = 1, there are p + 1 distinct decimated sequences s(dt + l), 0 <= l < p + 1, for a p-ary m-sequence s(t) of period p(n) - 1 because gcd(d, p(n) - 1) = p + 1. The maximum magnitude of their cross-correlation values is 1 + P root p(n) if l equivalent to 0 mod p + 1 for n equivalent to 0 mod 4 or l equivalent to (p + 1)/2 mod p + 1 for n equivalent to 2 mod 4 and otherwise, 1 + root p(n). Also by using s(t) and s(dt + l), a new family of p-ary sequences of period p(n) - 1 is constructed, whose family size is p(n) and C-max is 1 + P root p(n).
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