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Several Classes of Two-weight or Three-weight Linear Codes and Their Applications: 《数学理论与应用》2024年第3期25-49,共25页Shen Hongyan Liu Haibo; supported by the Natural Science Foundation of China (No.11901062);the Sichuan Natural Science Foundation (No.2024NSFSC0417)。; Recently,linear codes with a few weights have been extensively studied due to their applications in secret sharing schemes,constant composition codes,strongly regular graphs and so on.In this paper,based on the Weil s...; 关键词：Weil sum Linear code Complete weight enumerator Minimal code Strongly regular graph

Two-Weighted Estimate for Generalized Fractional Integral and its Commutator on Generalized Fractional Morrey Spaces: 《Journal of Mathematical Study》2023年第4期345-356,共12页Guanghui Lu Shuangping Tao; supported in part by the Youth Science and Technology Fund of Gansu Province(Grant No.22JR5RA173);Young Teachers'Scientific Research Ability Promotion Project of Northwest Normal University(Grant No.NWNU-LKQN2020-07);Innovation Fund Project for Higher Education of Gansu Province(Grant No.2020A-010).; The aim of this paper is to establish the mapping properties of generalized fractional integral I_(ρ)and its commutator[b,I_(ρ)]formed by b∈BMO(R^(n))and the I_(ρ)on generalized fractional weighted Morrey spaces L...; 关键词：Generalized fractional integral COMMUTATOR space BMO(1Rn) TWO-WEIGHT generalized fractional Morrey space

Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces: 《Acta Mathematica Sinica,English Series》2022年第7期1203-1228,共26页Bo Ning DI Qian Jun HE Dun Yan YAN; Supported by National Natural Science Foundation of China(Grant Nos.11871452 and 12071473);Beijing Information Science and Technology University Foundation(Grant Nos.2025031)。; In this paper,the authors establish the two-weight boundedness of the local fractional maximal operators and local fractional integrals on Gaussian measure spaces associated with the local weights.More precisely,the a...; 关键词：Local fractional integral local fractional maximal operator two-weight inequality Gaussian measure space

TWO WEIGHT CHARACTERIZATIONS FOR THE MULTILINEAR LOCAL MAXIMAL OPERATORS: 《Acta Mathematica Scientia》2021年第2期596-608,共13页Yali PAN Qingying XUE; supported partly by the Natural Science Foundation from the Education Department of Anhui Province(KJ2017A847);The second author was supported by NSFC(11671039,11871101);NSFC-DFG(11761131002).; Let 0<β<1 andΩbe a proper open and non-empty subset of R^(n).In this paper,the object of our investigation is the multilinear local maximal operator Mβ,defined by M_(β)((f))(x)=sup_(Q(∈)xQ∈Fβ)Π_(i=1)^m1/|Q|∫_...; 关键词：Multilinear local maximal operators A_((p q))^(β)weights two-weight inequalities

One and Two-Weight Z_(2)R_(2)Additive Codes被引量：1: 《Chinese Journal of Electronics》2021年第1期72-76,共5页LI Tiantian SHI Minjia LIN Bo WU Wenting; supported by Provincial Natural Science Research Project of Anhui Colleges(No.KJ2018A0030,No.KJ2019A0006);National Natural Science Foundation of China(No.12071001,No.61672036);Excellent Youth Foundation of Natural Science Foundation of Anhui Province(No.1808085J20);Academic Fund for Outstanding Talents in Universities(No.gxbjZD03)。; This paper is devoted to the construction of one and two-weight Z_(2)R_(2)additive codes,where R2=F2[v]/(v^(4)).It is a generalization towards another direction of Z2Z4 codes(S.T.Dougherty,H.W.Liu and L.Yu,"One weight...; 关键词：Gray map One-weight codes Two-weight codes Macwilliams identity

Two-Weight Codes and Second Order Recurrences: 《Chinese Journal of Electronics》2019年第6期1127-1130,共4页SHI Minjia ZHANG Zhongyi SOLE Patrick; supported by National Natural Science Foundation of China(No.61672036);Excellent Youth Foundation of Natural Science Foundation of Anhui Province(No.1808085J20);the Academic Fund for outstanding Talents in Oniversities(No.gxbj.ZD03); Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights.We compute their weight distribution,and give a condition on the roots of their check polynomials for them to be maximum di...; 关键词：TWO-WEIGHT CODES IRREDUCIBLE Cyclic CODES MDS CODES Linear RECURRENCES

Two-Weight Linear Codes and Their Applications in Secret Sharing被引量：2: 《Chinese Journal of Electronics》2019年第4期706-711,共6页WANG Yaru LI Fulin ZHU Shixin; supported by the National Natural Science Foundation of China(No.61772168,No.60973125,No.61572168);the Natural Science Foundation of Anhui Province(No.1508085MA13); Linear codes with few weighs have many applications in secret sharing.Determining the access structure of the secret sharing scheme based on a linear code is a very difficult problem.We provides a method to construct ...; 关键词：Finite non-chain ring MACDONALD CODES TORSION CODES SECRET sharing Access structure

Optimal Ternary Cubic Two-Weight Codes被引量：1: 《Chinese Journal of Electronics》2018年第4期734-738,共5页SHI Minjia HUANG Daitao SOLE Patrick; supported by National Natural Science Foundation of China(No.61672036);Excellent Youth Foundation of Natural Science Foundation of Anhui Province(No.1808085J20);Technology Foundation for Selected Overseas Chinese Scholar,Ministry of Personnel of China(No.05015133);Key projects of support program for outstanding young talents in Colleges and Universities(No.gxyqZD2016008); We study trace codes with defining set L,a subgroup of the multiplicative group of an extension of degree m of a certain ring of order 27. These codes are abelian, and their ternary images are quasi-cyclic of coindex ...; 关键词：Three-weight codes Two-weight codes Gauss sums Trace codes

The t-wise intersection of relative two-weight codes: 《Science China Mathematics》2014年第8期1765-1770,共6页LIU ZiHui; supported by National Natural Science Foundation of China(Grant Nos.11171366 and 61170257); The t-wise intersection of constant-weight codes are computed.Based on the above result,the t-wise intersection of relative two-weight codes are determined by using the finite geometric structure of relative two-weigh...; 关键词：relative two-weight code t-wise intersecting constant-weight code projective subspace value function

TWO-WEIGHT WEAK-TYPE MAXIMAL INEQUALITIES FOR MARTINGALES被引量：4: 《Acta Mathematica Scientia》2009年第2期402-408,共7页任颜波侯友良; Sponsored by the National NSFC (10671147); In this article, some necessary and sufficient conditions are shown in order that the inequality of the form Ф1（λ）Pu（f^＊〉λ）≤Ev （Ф2（C｜f∞｜）） holds with some constant C 〉 0 independent of martingale f...; 关键词：MARTINGALE WEIGHT weak-type inequality Young function

TWO-WEIGHT