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Newp-ary sequence family with low correlation and large linear span

✍ Scribed by Zhengchun Zhou; Xiaohu Tang; Udaya Parampalli; Daiyuan Peng


Publisher
Springer
Year
2011
Tongue
English
Weight
166 KB
Volume
22
Category
Article
ISSN
0938-1279

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Let p be an odd prime and n = (2m + 1)e. Based on the theory of quadratic forms over finite fields of odd characteristic, we generalize the binary construction by Yu and Gong to p-ary case. As a result, we obtain a new family F k o (ρ) of p-ary sequences of period p n -1 for arbitrary positive integ

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## Abstract Large families of β‰ˆ __p__^Q^ (__p__ prime, __Q__ = 2, 3, 4.,) polynomial phase sequences are presented. The __p‐ary__ sequences are of length __p__. Their correlation magnitudes are upper bounded by β‰ˆ __Q__ √__p__. The families are suitable for application in asynchronous CDMA systems.