PERMUTATION

作品数：181被引量：137H指数：6
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Permutation orbifolds of vertex operator superalgebras and associative algebras
《Science China Mathematics》2025年第1期19-38,共20页Chongying Dong Feng Xu Nina Yu 
supported by National Natural Science Foundation of China(Grant Nos.11971396,12131018 and 12161141001).
Let V be a vertex operator superalgebra and g=(12···k)be a k-cycle which is viewed as an automorphism of the tensor product vertex operator superalgebra V^(■k).In this paper,we construct an explicit isomorphism fr...
关键词：permutation orbifold vertex operator superalgebra Zhu algebra 
Permutation orbifolds and associative algebras
《Science China Mathematics》2022年第2期259-268,共10页Chongying Dong Feng Xu Nina Yu 
supported by National Natural Science Foundation of China(Grant Nos.11871351,11871150 and 11971396)。
Let V be a vertex operator algebra and g =(1 2 ··· k) be a k-cycle which is viewed as an automorphism of the vertex operator algebra V?k. It is proved that Dong-Li-Mason’s associated associative algebra Ag(V?k) is...
关键词：vertex operator algebra permutation orbifold Zhu algebra 
The decomposition of permutation module for infinite Chevalley groups被引量：1
《Science China Mathematics》2021年第5期921-930,共10页Xiaoyu Chen Junbin Dong 
supported by National Natural Science Foundation of China (Grant Nos.11501546 and 11671297)。
Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module...
关键词：reductive group abstract representation permutation module flag variety 
Several variants of the Dumont differential system and permutation statistics
《Science China Mathematics》2019年第10期2033-2052,共20页Shi-Mei Ma Toufik Mansour David GLWang Yeong-Nan Yeh 
supported by National Natural Science Foundation of China(Grant No.11401083);Natural Science Foundation of Hebei Province(Grant No.A2017501007);the Fundamental Research Funds for the Central Universities(Grant No.N152304006);Taiwan “National” Science Council(Grant No.104-2115-M-001-010)
The Dumont differential system on the Jacobi elliptic functions was introduced by Dumont(1979)and was extensively studied by Dumont, Viennot, Flajolet and so on. In this paper, we first present a labeling scheme for t...
关键词：JACOBI ELLIPTIC functions Dumont differential system PERMUTATION statistics context-free GRAMMARS 
A new family of differentially 4-uniform permutations over F_(2^(2k))for odd k被引量：3
《Science China Mathematics》2016年第6期1221-1234,共14页PENG Jie TAN ChikHow WANG QiChun 
supported by National Natural Science Foundation of China(Grant Nos.61202463 and 61202471);Shanghai Key Laboratory of Intelligent Information Processing(Grant No.IIPL-2014-005)
We study the differential uniformity of a class of permutations over F2 n with n even. These permutations are different from the inverse function as the values x^(-1) are modified to be(γx)^(-1) on some cosets of a f...
关键词：differential uniformity PERMUTATION algebraic degree nonlinearity COSET 
Further results on differentially 4-uniform permutations over F2^2m被引量：4
《Science China Mathematics》2015年第7期1577-1588,共12页ZHA ZhengBang HU Lei SUN SiWei SHAN JinYong 
supported by National Basic Research Programme of China(Grant No.2013CB834203);National Natural Science Foundation of China(Grant Nos.11201214 and 61472417);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)
We present several new constructions of differentially 4-uniform permutations over F22 mby modifying the values of the inverse function on some subsets of F22 m. The resulted differentially 4-uniform permutations have...
关键词：PERMUTATION differentially 4-uniform function NONLINEARITY algebraic degree 
Permutation polynomials with low differential uniformity over finite fields of odd characteristic被引量：2
《Science China Mathematics》2013年第7期1429-1440,共12页JIA WenJie ZENG XiangYong LI ChunLei HELLESETH Tor HU Lei 
supported by National Natural Science Foundation of China(Grant Nos.61070172,10990011 and 61170257);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402);National Key Basic Research Program of China(Grant No.2013CB834203);the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDA06010702)
In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that t...
关键词：PERMUTATION perfect nonlinear function almost perfect nonlinear function differential uniformity 
A generic construction of low correlation zone sequences based on interleaved technique
《Science China Mathematics》2013年第7期1441-1448,共8页KANG Li TANG XiaoHu 
supported by the Key grant Project of Chinese Ministry of Education(Grant No.311031);the Innovative Research Team of Sichuan Province(Grant No.2011JTD0007);National Natural Science Foundation of China(Grant No.91218301);the Ministry of Education of Humanities and Social Science Foundation of China(Grant No.11XJCZH002)
Low correlation zone (LCZ) sequences are useful in quasi-synchronous code-division multiple access (QS-CDMA) communication systems. In this paper, a generic construction of LCZ sequences based on inter-leaved techniqu...
关键词：interleaved sequences LCZ sequences shift sequence punctured Hadamard matrices column permutation 
Explicit classes of permutation polynomials of F_3^(3m)被引量：8
《Science China Mathematics》2009年第4期639-647,共9页DING CunSheng1, XIANG Qing2, YUAN Jin3 & YUAN PingZhi4 1 Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clearwater Bay, Kowloon, Hong Kong, China 2 Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, USA 3 Department of Computing, Macquarie University, NSW 2109, Australia 4 School of Mathematics, South China Normal University, Guangzhou 510631, China 
supported by Australian Research Council (Grant No. DP0558773);National Natural Science Foundation of China (Grant No. 10571180);the Research Grants Council of the Hong Kong Special Admin-istrative Region of China (Grant No. 612405)
Permutation polynomials have been an interesting subject of study for a long time and have applications in many areas of mathematics and engineering. However, only a small number of specific classes of permutation pol...
关键词：PERMUTATION POLYNOMIALS PLANAR FUNCTIONS 
The L-sharp permutation groups
《Science China Mathematics》2000年第1期22-27,共6页李炯生 
An answer is given to a problem proposed by Bannai and Ito for {I, I + s, I + s + t}-sharp permutation group, and the result is used to determineL-sharp groups for L={I, I + 1, I + 3} and {I, I + 2, I + 3}.
关键词：PERMUTATION GROUP SHARP GROUP character. 
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