New M-ary Power Residue Sequence Families with Low Correlation

In this paper we construct M-ary sequence families from power residue sequences of odd prime period p and their 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 of size p + M - 2 an...

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Bibliographic Details
Main Authors: Yun Kyoung Han, Kyeongcheol Yang
Format: Conference Proceeding
Language:English
Subjects:
Autocorrelation
Binary sequences
Communication systems
Data communication
Galois fields
Multiaccess communication
Multiple access interference
Polynomials
Upper bound
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Summary:In this paper we construct M-ary sequence families from power residue sequences of odd prime period p and their 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 of size p + M - 2 and (M - 1) 2 (p - 1)/2 + M - 1 are upper bounded by 2radic(p) + 5 and 3radic(p) + 4, respectively.
ISSN:2157-8095
2157-8117
DOI:10.1109/ISIT.2007.4557613