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On the p-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences |
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| Authors: | JING Xiaoyan XU Zhefeng YANG Minghui FENG Keqin |
| Abstract: | The purpose of this paper is to determine the p-adic complexity of the Ding-Helleseth-Martinsen (DHM) sequences with period N = 2q, where q ≡ 5 (mod 8) is a prime number. We firstly use the p-adic exponential valuation, cyclotomic numbers of order four,Gauss periodsandquadratic Gauss sumson finite field Fq and valued in ZpN?1 to determine the p-adic complexity of the DHM sequences. |
| Keywords: | Ding-Helleseth-Martinsen sequences p-adic complexity p-adic exponential valuation Gauss periods Quadratic Gauss sums |
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