Difference Sets in Groups of Order 4p4

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Difference Sets in Groups of Order 4p⁴

WAN Zhaoze

Dept.of Math., School of Mathematical Sciences, Peking University, Beijing, 100871

Received:1999-06-25 Online:2000-05-20 Published:2000-05-20

4p⁴阶群中的差集

万兆泽

北京大学数学科学学院数学系，北京，100871

Abstract

Abstract: Let G be a group of order 4p⁴, N be a normal subgroup of G and D be a hypothetical Menon difference set in G, by investigating the intersection numbers, some necessary conditions are gotten.

Key words: difference sets, intersection numbers, complete cyclic basis

摘要： 设G是4p⁴阶群，N是G的一个正规子群，假设D是G中的一个差集，通过考察相交数，得到一些D存在的必要条件。

关键词: 差集, 相交数, 完全循环基

CLC Number:

O152
O157

WAN Zhaoze. Difference Sets in Groups of Order 4p⁴[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

万兆泽. 4p⁴阶群中的差集[J]. 北京大学学报（自然科学版）.

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URL: https://xbna.pku.edu.cn/EN/

https://xbna.pku.edu.cn/EN/Y2000/V36/I3/331

[1]	WAN Zhaoze,LI Jian. Difference Sets in Groups of Order 4p⁴ [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2006, 42(5): 590-597.
[2]	QIU Weisheng,CAI Kai. Construction and Enumeration for Periodic Quasi-Perfect Sequences and Multiplier Groups of Cyclic Hadamard Difference Sets of Type(II) [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2005, 41(1): 27-35.
[3]	CAO Xiwang,ZHU Yiquan,TANG Cui'e. A Note on Almost Perfect Arrays [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2005, 41(1): 15-20.
[4]	XIONG Guohua. Difference Sets with Classical Parameters and Bent Functions [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2003, 39(1): 14-16.
[5]	DENG Yingpu. A New Family of Divisible Difference Sets [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2002, 38(3): 312-314.
[6]	WAN Zhaoze. A Note on Menon Difference Sets [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1999, 35(3): 281-284.
[7]	WAN Zhaoze. Impossibility of Difference Sets Depending on Certain Cyclotomic Equation [J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 1999, 35(1): 13-17.

Difference Sets in Groups of Order 4p⁴

4p⁴阶群中的差集

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Difference Sets in Groups of Order 4p4

4p4阶群中的差集

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 7

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Difference Sets in Groups of Order 4p⁴

4p⁴阶群中的差集