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Bent序列的构造及其相关值分布 被引量：1

THE CONSTRUCTION OF BINARY BENT SEQUENCES AND THEIR CORRELATION DISTRIBUTION
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摘要 本文研究了已知的Bent序列集的构造方法.利用有限域的理论确定了任一Bent序列集相关值的分布情况.同时,构造出了一类新的Bent序列集,给出了这类Bent序列的线性复杂度的精确值. In this article,the construction methods of Bent-function sequences are studied. By utilizing some ideas from finite fields,the correlation distribution of Bent-function sequences is determined.A new class of binary Bent-function sequences is constructed and the linear spans of these sequences are also derived.
作者 夏永波
机构地区 中南民族大学计算机科学学院 湖北大学应用数学湖北省重点实验室
出处 《数学杂志》 CSCD 北大核心 2010年第4期663-670,共8页 Journal of Mathematics
基金 中南民族大学校自然科学基金(YZY10008) 应用数学湖北省重点实验室开放基金 教育部博士点基金(10631010)
关键词 Bent函数序列 d-型齐次函数 相关值分布 线性复杂度 理想两值自相关序列 Bent-fuction sequences d-homogeneous function correlation distribution linear span sequences with ideal two-level autocorrelation
分类号 O156.21 [理学—基础数学]
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参考文献17

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二级参考文献44

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数学杂志
2010年 第4期

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