Journal of University of Science and Technology of China ›› 2011, Vol. 41 ›› Issue (7): 636-641.DOI: 10.3969/j.issn.0253-2778.2011.07.011
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XIA Yongbo
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Abstract: Let p be an odd prime and n≥3, and k be positive integers with gcd(k,n)=1. Utilizing a class of quadratic forms over Fpn, a new family of p-ary sequences with period pn-1 was proposed. The proposed family has family size p2n and maximum correlation pn/2+1+1. The correlation distribution of the family was completely determined. Compared with the known sequence families, the proposed family has larger family size, while still maintaining low correlation.
Key words: quadratic form, exponential sum, p-ary sequences, finite fields
XIA Yongbo. A new family of p-ary low correlation sequences with large family size[J]. Journal of University of Science and Technology of China, 2011, 41(7): 636-641.
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URL: http://just-cn.ustc.edu.cn/EN/10.3969/j.issn.0253-2778.2011.07.011
http://just-cn.ustc.edu.cn/EN/Y2011/V41/I7/636