Non Existence of Some Generalized Bent Functions 被引量：3

Non-Existence of Some Generalized Bent Functions

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摘要 Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diophantine equations. Several new results on the non-existence of some generalized bent functions are proved by using properties of the decomposition law of primes in cyclotomic fields and properties of the solutions of some special Diophantine equations.

作者 KeQinFENG FengMeiLIU

机构地区 TheDepartmentofMathermaticalScience TheStateKeyLaboratoryofInformationSecurity

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第1期39-50,共12页 数学学报（英文版）

关键词 Generalized bent function Gauss sum Cyclotomy Generalized bent function Gauss sum, Cyclotomy

分类号 O156.7 [理学—数学]

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参考文献9

1Rothaus, O. S.: On bent functions. J. of Comb. Theory (A), 20, 300-305 (1976). 被引量：1
2Kumar, P. V., Scholtz, R. A., Welch, L. R.: Generalized bent functions and their properties. J. of Comb.Theory (A), 40, 90-107 (1985). 被引量：1
3Feng, K. Q.: Generalized bent functions and class group of imaginary quadratic fields. Science in China,(Series A), 44(5), 489-496 (2001). 被引量：1
4Ikeda, M.: A remark on the non-existence of generalized bent functions. Number theory and Its Applications (Ankara), 109 119 (1996), LN in Pure and Appl. Math., 204, New York, Marcel Dekker (1999). 被引量：1
5Pei, D. Y.: On non-existence of generalized bent functions. LN in Pure and Applied Math., 141, 165-172(1993). 被引量：1
6Liu, F. M., Ma, Z., Feng, K. Q.: New results on non-existence of Generalized bent functions (Ⅱ). Sciencein China (Series A), 45(6), 721-730 (2002). 被引量：1
7Berndt, Bruce C., Evans, Ronald J.: Sums of Guass, Jaeobi and Jaeobsthal. Journal of Number Theory Ⅱ,349-398 (1979). 被引量：1
8Storer, T.: Cyclotomy and Difference sets, Markham Publishing Company, Chicago (1967). 被引量：1
9Feng, K. Q.: Algebraic Number Theory, Science Press, Beijing (2000). 被引量：1

同被引文献4

1刘凤梅,马智,冯克勤.New results on non-existence of generalized bent functions (Ⅱ)[J].Science China Mathematics,2002,45(6):721-730. 被引量：2
2冯克勤.广义bent函数和虚二次域理想类数[J].中国科学（A辑）,2000,30(6):489-496. 被引量：6
3马智,刘凤梅,冯克勤.关于广义bent函数不存在性的新结果(Ⅱ)[J].中国科学（A辑）,2002,32(1):1-9. 被引量：2
4冯克勤,刘凤梅.一些特殊类型广义Bent函数的不存在性[J].数学年刊（A辑）,2003,24(4):445-452. 被引量：1

引证文献3

1LIU FengMei 1,& YUE Qin 21 Department of Information Research,College of Information Engineering,Information Engineering University,Zhengzhou 450002,China,2 Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China.A relationship between the nonexistence of generalized bent functions and class groups[J].Science China Mathematics,2010,53(1):213-222. 被引量：1
2Feng Mei LIU,Qin YUE.The Relationship between the Nonexistence of Generalized Bent Functions and Diophantine Equations[J].Acta Mathematica Sinica,English Series,2011,27(6):1173-1186.
3姜宇鹏,邓映蒲.强伪素数、覆盖同余式组以及广义bent函数[J].中国科学：数学,2015,45(4):321-330. 被引量：1

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1李瑛,周立.科技期刊论文创新点合理呈现的价值及理想模式[J].中国科技期刊研究,2018,29(10):993-999. 被引量：17
2杨小龙,胡红钢.Bent函数构造方法研究[J].密码学报,2015,2(5):404-438. 被引量：6

1Feng Mei LIU,Qin YUE.The Relationship between the Nonexistence of Generalized Bent Functions and Diophantine Equations[J].Acta Mathematica Sinica,English Series,2011,27(6):1173-1186.
2刘凤梅,马智,冯克勤.New results on non-existence of generalized bent functions (Ⅱ)[J].Science China Mathematics,2002,45(6):721-730. 被引量：2
3LUO JiaGui,YUAN PingZhi.On the solutions of a system of two Diophantine equations[J].Science China Mathematics,2014,57(7):1401-1418. 被引量：4
4姜广峰.A Note on the Non-existence of Negatively Weighted Derivations[J].Chinese Quarterly Journal of Mathematics,1995,10(4):21-26.
5BERBICHE Mohamed,HAKEM Ali.Non-Existence of Global Solutions for a Fractional Wave-Diffusion Equation[J].Journal of Partial Differential Equations,2012,25(1):1-20.
6王修林,邓谋杰.关于“DIOPHANTINE　EQUATIONS　RELATED　TO　FINITE　GROUPS”[J].哈尔滨师范大学自然科学学报,1997,13(1):27-29.
7WANG Yan Ping.The Existence and Non-Existence of Global Solutions for a Nonlinear Wave Equation[J].Journal of Mathematical Research and Exposition,2009,29(1):164-168.
8叶彦谦.ON A CONJECTURE CONCERNING THE NON-EXISTENCE OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Annals of Differential Equations,2000,16(4):391-400. 被引量：6
9LU Gang,LIANG Zhao jun(Department of Mathematics, Huazhong Normal Universitg, Wuhan 430070, China).NON－EXISTENCE　OF　SINGULAR　CYCLES　IN　A　QUADRIC　DIFFERENTIAL　SYSTEM　WITH　FINE　FOCUS　OF　ORDER　THREE[J].Systems Science and Mathematical Sciences,1994,7(2):133-139.
10Dorothee D.HAROSKE,Susana D.MOURA.Some Specific Unboundedness Property in Smoothness Morrey Spaces. The Non-existence of Growth Envelopes in the Subcritical Case[J].Acta Mathematica Sinica,English Series,2016,32(2):137-152. 被引量：1

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Non Existence of Some Generalized Bent Functions 被引量：3

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