On the p-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences

• 作者: JING Xiaoyan XU Zhefeng YANG Minghui FENG Keqin
• 来源期刊: 电子学报（英文）
• 年，卷（期）: 2021,（1）
• 所属期刊栏目: COMPUTERS AND MICROELECTRONICS
• 页码范围: 64-71
• 页数: 8页
• 语种: 英文
• DOI: 10.1049/cje.2020.08.016

摘要

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 periods"and"quadratic Gauss sums"on finite field Fq and valued in ZpN?1 to determine the p-adic complexity of the DHM sequences.