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The weight distributions of a class of non-primitive cyclic codes with two nonzeros
《Science China Mathematics》2015年第6期1285-1296,共12页ZHENG DaBin ZHOU FengLi HU Lei ZENG XiangYong 
supported by National Natural Science Foundation of China(Grant Nos.11101131 and 61170257);National Basic Research Program of China(Grant No.2013CB834203);the External Science and Technology Cooperation Program of Hubei Province(Grant No.2012IHA01402)
Recently, a class of non-primitive cyclic codes with two nonzeros have received much attention of researchers and their weight distributions have been obtained for several cases of two key parameters related to the no...
关键词：primitive codes Jacobi multiplicative evaluating integer multiplicity exponential simplify details 
On the μ-invariant of two-variable primitive p-adic L-functions被引量：1
《Science China Mathematics》2014年第6期1149-1154,共6页KANG YunLing QIN HouRong 
supported by National Natural Science Foundation of China (Grant No. 11171141);the State Key Development Program for Basic Research of China (973 Program) (Grant No. 2013CB834202);Natural Science Foundation of Jiangsu Province of China (NSFJ) (Grant No. BK2010007);a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD);the Cultivation Fund of the Key Scientific and Technical Innovation Project,Ministry of Education of China (Grant No. 708044)
Using the idea of Sinnott,Gillard and Schneps,we prove theμ-invariant is zero for the two-variable primitive p-adic L-function constructed by Kang(2012),which arises naturally in the study of Iwasawa theory for an el...
关键词：CM elliptic curve p-adic L-function μ-invariant 
Well-posedness for the stochastic 2D primitive equations with Lévy noise被引量：1
《Science China Mathematics》2013年第8期1629-1645,共17页SUN ChengFeng GAO HongJun 
supported in part by National Natural Science Foundation of China(Grant Nos. 11028102,11126303 and 11171158);Major Program of National Natural Science Foundation of China(Grant No. 91130005);National Basic Research Program of China (973 Program) (Grant No. 2013CB834100);Natural Science Foundation of Jiangsu Province (Grant No. BK2011777);Natural Science Foundation of Jiangsu Education Committee (Grant No. 11KJA110001);Qing Lan and "333" Project of Jiangsu Province
The two-dimensional primitive equations with Lévy noise are studied in this paper.We prove the existence and uniqueness of the solutions in a fixed probability space which based on a priori estimates,weak convergence...
关键词：primitive equation Levy noise existence and uniqueness 
Binary cyclic codes with two primitive nonzeros
《Science China Mathematics》2013年第7期1403-1412,共10页FENG Tao LEUNG KaHin XIANG Qing 
supported in part by Fundamental Research Fund for the Central Universities of China;Zhejiang Provincial Natural Science Foundation(Grant No.LQ12A01019);National Natural Science Foundation of China(Grant No.11201418);Research Fund for Doctoral Programs from the Ministry of Education of China(Grant No.20120101120089);supported in part by AcRF grant(Grant No.R-146-000-158-112)
In this paper, we make some progress towards a well-known conjecture on the minimum weights of binary cyclic codes with two primitive nonzeros. We also determine the Walsh spectrum of Tr(x d ) over F2m in the case whe...
关键词：cyclic code minimum weight Walsh spectrum 
Affine groups and flag-transitive triplanes被引量：2
《Science China Mathematics》2012年第12期2557-2578,共22页DONG HuiLi ZHOU ShengLi 
supported by National Natural Science Foundation of China (Grant No. 11071081)
Let D be a nontrivial 2-(v, k, 3) symmetric design (triplane) and let G≤Aut(D) be flag-transitive and point-primitive. In this paper, we prove that if G is an affine group, then G≤AΓL1(q), where q is some power of ...
关键词：symmetric design triplane FLAG-TRANSITIVE point-primitive affine group 
Finite locally primitive abelian Cayley graphs被引量：9
《Science China Mathematics》2011年第4期845-854,共10页LI CaiHeng LOU BenGong PAN JiangMin 
supported by National Natural Science Foundation of China (Grant Nos.10771132,11071210);Australia Research Council Discovery Grant
Let Γ be a finite connected locally primitive Cayley graph of an abelian group.It is shown that one of the following holds:(1) Γ = Kn,Kn,n,Kn,n-nK2,Kn ×···× Kn;(2) Γ is the standard double cover of Kn ×···...
关键词：locally primitive Cayley graphs normal cover 
On the least primitive root in number fields被引量：1
《Science China Mathematics》2010年第9期2489-2500,共12页WANG TianZe1,& GONG Ke21School of Mathematics and Information Sciences,North China University of Water Resources and Electric Power,Zhengzhou 450011,China 2Department of Mathematics,Henan University,Kaifeng 475004,China 
supported by National Natural Science Foundation of China (Grant Nos.10671056,10801105)
Let K be an algebraic number field and OK its ring of integers.For any prime ideal p,the group(OK/p) of the reduced residue classes of integers is cyclic.We call any element of a generator of the group(OK/p) a primiti...
关键词：PRIMITIVE ROOT ALGEBRAIC number FIELDS HECKE ZETA function 
Exceptional groups of Lie type and flag-transitive triplanes被引量：7
《Science China Mathematics》2010年第2期447-456,共10页ZHOU ShengLin & DONG HuiLi Department of Mathematics, South China University of Technology, Guangzhou 510640, China 
A triplane is a ( v, k, 3)-symmetric design. Let G be a subgroup of the full automorphism group of a triplane D. In this paper we prove that if G is flag-transitive and point-primitive, then the socle of G cannot be a...
关键词：SYMMETRIC design triplane FLAG-TRANSITIVE point-primitive exceptional GROUPS of LIE type 
Sporadic groups and flag-transitive triplanes被引量：8
《Science China Mathematics》2009年第2期394-400,共7页ZHOU ShengLin DONG HuiLi 
supported by Scientific Research Foundation for the Returned Overseas Scholars, Ministry of Education of China
Let D be a triplane, i.e., a 2-(ν, k, 3) symmetric design, and G be a subgroup of the full automorphism group of D. In this paper we prove that if G is flag-transitive point-primitive, then the socle of G cannot be a...
关键词：triplane symmetric design FLAG-TRANSITIVE point-primitive sporadic simple group 05B05 05B25 20B25 
A class of primitive substitutions and scrambled sets被引量：7
《Science China Mathematics》2008年第3期369-375,共7页LIAO GongFu FAN QinJie WANG LiDong 
the National Natural Science Foundation of China (Grant No. 10771084);the Education Department Foundation of Jilin Province (Grant No. 200568);the Foundations of Dalian Nationalities University and Jilin Normal University
Consider the subshifts induced by constant-length primitive substitutions on two symbols. By investigating the equivalent version for the existence of Li-Yorke scrambled sets and by proving the non-existence of Schwei...
关键词：primitive substitution SUBSHIFT Li-Yorke scrambled set Schweizer-Smítal scrambled set 54H20 58F03 58F08 
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