| 基于分圆类方法的差集偶构造 |
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| 引用本文： | 李建周,柯品惠,张胜元.基于分圆类方法的差集偶构造[J].福建师范大学学报(自然科学版),2009,25(4). |
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| 作者姓名： | 李建周 柯品惠 张胜元 |
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| 作者单位： | 1. 福建师范大学网络安全与密码技术重点实验室,福建,福州,350007;福建人民出版社,福建,福州,350001
2. 福建师范大学网络安全与密码技术重点实验室,福建,福州,350007 |
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| 基金项目： | 福建师范大学网络安全与密码技术重点实验室开放课题，福建省教育厅基金资助项目，黑龙江省教育厅2007年科学技术研究面上项目 |
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| 摘 要： | 利用分圆类的方法构造了Z2q(q=ef+1为素数幂,e=2或4)上,参数为(4f+2,2f+1,2f,f,f),(8f+2,4f+1,4f,2f,2f),(8f+2,4f+1,2f,f,f),(4f+1,2f,2f,0,f)的差集偶.
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| 关 键 词： | 差集偶 分圆类 分圆数 |
Constructions of the Difference Set Pairs Based on Cyclotomic Class |
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| LI Jian-zhou,KE Pin-hui,ZHANG Sheng-yuan.Constructions of the Difference Set Pairs Based on Cyclotomic Class[J].Journal of Fujian Teachers University(Natural Science),2009,25(4). |
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| Authors: | LI Jian-zhou KE Pin-hui ZHANG Sheng-yuan |
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| Institution: | LI Jian-zhou1,2,KE Pin-hui1,ZHANG Sheng-yuan1(1.Key Laboratory of Network Security and Cryptology,Fujian Normal University,Fuzhou 350007,China,2.Fujian People's Publishing House,Fuzhou 350001,China) |
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| Abstract: | Several difference set pairs over Z2q(q=ef+1 is a prime power,e=2 or 4) are constructed based on cyclotomic classes. The obtained difference set pairs have parameters as follows: (4f+2,2f+1,2f,f,f),(8f+2,4f+1,4f,2f,2f),(8f+2,4f+1,2f,f,f),(4f+1,2f,2f,0,f). |
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| Keywords: | difference set pairs cyclotomic class cyclotomic number |
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