New M-Ary Sequence Families With Low Correlation and Large Size
SCIE
SCOPUS
- Title
- New M-Ary Sequence Families With Low Correlation and Large Size
- Authors
- Han, YK; Yang, K
- Date Issued
- 2009-04
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGI
- Abstract
- In this paper, we construct four M-ary sequence families from a power residue sequence of odd prime period p and its constant multiple sequences using the shift-and-add method, when M is a divisor of p - 1. We show that the maximum correlation values of the proposed sequence families are upper-bounded by 2 root p+5 or 3 root p+4. In addition, we prove that the linear complexity of each sequence in the proposed families is either p-1 or p-p-1/M-1. We also construct an M-ary sequence family from Sidel'nikov sequences of period p(m) - 1 by applying the same method, when M is a divisor of p(m) - 1. The proposed sequence family (F-s) over tilde has larger size than the known M-ary Sidel'nikov sequence families, whereas they all have the same upper bound on the maximum correlation.
- Keywords
- Linear complexity; low correlation; multiplicative character; polyphase sequences; power residue sequences; Sidel' nikov sequences; Weil' s theorem; POWER-RESIDUE SEQUENCES; SIDELNIKOV SEQUENCES; CROSS-CORRELATION; LINEAR COMPLEXITY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/28582
- DOI
- 10.1109/TIT.2009.2013040
- ISSN
- 0018-9448
- Article Type
- Article
- Citation
- IEEE TRANSACTIONS ON INFORMATION THEORY, vol. 55, no. 4, page. 1815 - 1823, 2009-04
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