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利用环分解和分圆类的差集偶构造
引用本文:林丽英,郑鹭亮,张胜元. 利用环分解和分圆类的差集偶构造[J]. 华侨大学学报(自然科学版), 2012, 33(4): 456-459
作者姓名:林丽英  郑鹭亮  张胜元
作者单位:1. 福建师范大学数学与计算机科学学院,福建福州350007;福建信息职业技术学院应用语言系,福建福州350007
2. 福建医科大学基础医学院,福建福州,350001
3. 福建师范大学数学与计算机科学学院,福建福州,350007
基金项目:国家自然科学基金资助项目
摘    要:基于环分解并结合分圆类方法,构造两类参数为(pq,q,pkf,kf,kf)(q=ef+1为素数幂)和(k(k+1)/e,k,+1,e,e)的差集偶,推广了李建周等的研究结果.

关 键 词:差集偶  二进序列偶  分圆类  环分解

Constructions for Difference Set Pairs Based on Ring Decomposition
LIN Li-ying , ZHENG Lu-liang , ZHANG Sheng-yuan. Constructions for Difference Set Pairs Based on Ring Decomposition[J]. Journal of Huaqiao University(Natural Science), 2012, 33(4): 456-459
Authors:LIN Li-ying    ZHENG Lu-liang    ZHANG Sheng-yuan
Affiliation:1.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 35007,China; 2.Department of Applied Language,Fujian Polytechnic of Information Technology,Fuzhou 350001,China; 3.School of Basic Medical Science,Fujian Medical University,Fuzhou 350007,China)
Abstract:Two types of difference set pairs are constructed by means of ring decomposition and cyclotomic classes.The obtained difference set pairs have parameters as follows:(pq,q,pkf,kf,kf)(q=ef+1 is prime power) and(k(k+1)/e,k,k+1,e,e).The result improves the one made by Li Jian-zhou et al.
Keywords:difference set pair  binary sequence pair  cyclotomic class  ring decomposition
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