A New Way of Constructing Hadamard Difference Sets

Acta Scientiarum Naturalium Universitatis Pekinensis

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A New Way of Constructing Hadamard Difference Sets

XIONG Guohua

School of Mathematical Sciences, Peking University, Beijing, 100871

Received:2001-05-11 Online:2002-05-20 Published:2002-05-20

构造Hadamard差集的新途径

熊国华

北京大学数学科学学院，北京，100871

Abstract

Abstract: Provide a new way of constructing Hadamard difference sets (HDS) with parameters (4q², q(2q-1), q(q-1)) by a special nonlinear function on a ring.

Key words: difference set, Hadamard difference set, Walsh transform, special nonlinear function

摘要： 利用环上的特殊非线性函数，提出构造参数为(4q², q(2q-1), q(q-1))的Hadamard差集的新途径。

关键词: 差集, Hadamard差集, Walsh变换, 特殊非线性函数

CLC Number:

O157.2

XIONG Guohua. A New Way of Constructing Hadamard Difference Sets[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

熊国华. 构造Hadamard差集的新途径[J]. 北京大学学报（自然科学版）.

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A New Way of Constructing Hadamard Difference Sets

构造Hadamard差集的新途径

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