GennianGe - 首都师范大学 - 数学科学学院

研究领域

Combinatorialdesigns,Extremalcombinatorics,Algebraiccombinatorics,Codingtheory,Informationsecurity,Theoreticalcomputerscience,Bioinformatics,Statistics.

近期论文

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TaoZhangandGennianGe,OntheNonexistenceofPerfectSplitterSetsIEEETrans.Inform.Theory64(2018),6561-6566 ChongShangguan,YiweiZhangandGennianGe,Centralizedcodedcachingschemes:AhypergraphtheoreticalapproachIEEETrans.Inform.Theory64(2018),5755-5766 LijunJi,BaokunDing,XinWangandGennianGe,AsymptoticallyOptimalOpticalOrthogonalSignaturePatternCodes,IEEETrans.Inform.Theory64(2018),5419-5431. TaoZhang,XiandeZhangandGennianGe,SplitterSetsandk-RadiusSequences,IEEETrans.Inform.Theory63(2017),7633-7645. ChongShangguan,XinWang,GennianGeandYingMiao,NewBoundsForFrameproofCodes,IEEETrans.Inform.Theory63(2017),7247-7252. ShuxingLi,CunshengDing,MaoshengXiongandGennianGe,Narrow-SenseBCHCodesoverGF(q)withLengthn=(qm-1)/(q-1)IEEETrans.Inform.Theory63(2017),7219-7236. TaoZhangandGennianGe,PerfectandQuasi-PerfectCodesunderthelpMetric,IEEETrans.Inform.Theory63(2017),4325-4331. YitingYang,YiweiZhangandGennianGe,Newlowerboundsforsecurecodesandrelatedhashfamilies:Ahypergraphtheoreticalapproach,IEEETrans.Inform.Theory63(2017),2446-2453. ChongShangguanandGennianGe,Newboundsonthenumberoftestsfordisjunctmatrices,IEEETrans.Inform.Theory62(2016),7518-7521. ChongShangguanandGennianGe,Separatinghashfamilies:AJohnson-typeboundandnewconstructions,SIAMJ.DiscreteMath.30(2016),2243-2264. TaoZhangandGennianGe,QuantumCodesDerivedfromCertainClassesofPolynomials,IEEETrans.Inform.Theory62(2016),6638-6643. XinWang,HengjiaWei,ChongShangguanandGennianGe,Newboundsandconstructionsformultiplyconstant-weightcodes,IEEETrans.Inform.Theory62(2016),6315-6327. YiweiZhangandGennianGe,Snake-in-the-BoxCodesforRankModulationunderKendall'sτ-MetricinS2n+2,IEEETrans.Inform.Theory62(2016),4814-4818. MaoshengXiong,ShuxingLiandGennianGe,TheWeightHierarchyofSomeReducibleCyclicCodes,IEEETrans.Inform.Theory62(2016),4071-4080. TaoZhangandGennianGe,NewResultsonCodesCorrectingSingleErrorofLimitedMagnitudeforFlashMemory,IEEETrans.Inform.Theory62(2016),4494-4500. ShuxingLi,MaoshengXiongandGennianGe,Pseudo-cyclicCodesandtheConstructionofQuantumMDSCodes,IEEETrans.Inform.Theory62(2016),1703-1710. YiweiZhangandGennianGe,Snake-in-the-BoxCodesforRankModulationunderKendall'sτ-Metric,IEEETrans.Inform.Theory62(2016),151-158. TaoZhangandGennianGe,SomeNewClassesofQuantumMDSCodesfromConstacyclicCodes,IEEETrans.Inform.Theory61(2015),5224-5228. TaoZhangandGennianGe,FourthPowerResidueDoubleCirculantSelf-DualCodes,IEEETrans.Inform.Theory61(2015),4243-4252. FeiGaoandGennianGe,NewBoundsonSeparableCodesforMultimediaFingerprinting,IEEETrans.Inform.Theory60(2014),5257-5262. ShuxingLi,TaoFengandGennianGe,OntheWeightDistributionofCyclicCodeswithNihoExponents,IEEETrans.Inform.Theory60(2014),3903-3912. ShuxingLiandGennianGe,DeterministicConstructionofSparseSensingMatricesviaFiniteGeometry,IEEETransactionsonSignalProcessing62(2014),2850-2859. TaoZhang,ShuxingLi,TaoFengandGennianGe,SomeNewResultsontheCrossCorrelationofm-sequences,IEEETrans.Inform.Theory60(2014),3062-3068. ShuxingLiandGennianGe,DeterministicSensingMatricesArisingfromNearOrthogonalSystems,IEEETrans.Inform.Theory60(2014),2291-2302. CuilingFanandGennianGe,AUni_edApproachtoWhiteman'sandDingHelleseth'sGeneralizedCyclotomyoverResidueClassRings,IEEETrans.Inform.Theory60(2014),1326-1336. ShuxingLi,SihuangHu,TaoFengandGennianGe,TheWeightDistributionofaClassofCyclicCodesRelatedtoHermitianFormsGraphs,IEEETrans.Inform.Theory59(2013),3064-3067. FeiGao,YitingYangandGennianGe,AnimprovementtoGilbert-Varshamovboundforpermutationcodes,IEEETrans.Inform.Theory59(2013),3059-3063. HuiZhangandGennianGe,OptimalQuaternaryConstant-WeightCodeswithWeightFourandDistanceFive,IEEETrans.Inform.Theory59(2013),1617-1629. MingzhiZhuandGennianGe,QuaternaryConstant-CompositionCodeswithWeight4andDistances5or6,IEEETrans.Inform.Theory58(2012),6012-6022. ShuxingLi,FeiGao,GennianGeandShengyuanZhang,DeterministicConstructionofCompressedSensingMatricesviaAlgebraicCurves,IEEETrans.Inform.Theory58(2012),5035-5041 HuiZhang,XiandeZhangandGennianGe,OptimalTernaryConstant-WeightCodeswithWeightFourandDistanceFive,IEEETrans.Inform.Theory58(2012),2706-2718. FeiGaoandGennianGe,ACompleteGeneralizationofClatworthyGroupDivisibleDesigns,SIAMJ.DiscreteMath.25(2011),1547-1561. FeiGaoandGennianGe,OptimalTernaryConstant-CompositionCodesofWeightFourandDistanceFive,IEEETrans.Inform.Theory57(2011),3742-3757. HuiZhangandGennianGe,OptimalTernaryConstant-WeightCodesofWeightFourandDistanceSix,IEEETrans.Inform.Theory56(2010),2188-2203. GennianGe,DaweiHuangandYingMiao,MonotonicDirectedDesignsSIAMJ.DiscreteMath.24(2010),218-238. YeowMengChee,GennianGeandAlanC.H.Ling,SpectrumofSizesforPerfectDeletion-CorrectingCodes,SIAMJ.DiscreteMath.24(2010),33-55. RucongZhang,GennianGe,AlanC.H.Ling,Hung-LinFuandYukiyasuMutoh,TheExistenceofr4Grid-BlockDesignswithr=3,4,SIAMJ.DiscreteMath.23(2009),1045-1062. GennianGe,YingMiaoandXiandeZhang,OnblocksequencesofSteinerquadruplesystemswitherrorcorrectingconsecutiveunions,SIAMJ.DiscreteMath.23(2009),940-958. GennianGe,YingMiaoandZhongxiangYao,OptimalFrequencyHoppingSequences:AutoandCross-CorrelationProperties,IEEETrans.Inform.Theory55(2009),867-879. CharlesJ.Colbourn,Hung-LinFu,GennianGe,AlanC.H.LingandHui-ChuanLu,MinimizingSONETADMsinUnidirectionalWDMRingswithGroomingRatio7,SIAMJ.DiscreteMath.23(2008),109-122. YeowMengChee,GennianGeandAlanC.H.Ling,GroupDivisibleCodesandTheirApplicationintheConstructionofOptimalConstant-CompositionCodesofWeightThree,IEEETrans.Inform.Theory54(2008),3552-3564. GennianGe,AlanC.H.LingandYingMiao,ASystematicConstructionforRadarArrays,IEEETrans.Inform.Theory54(2008),410-414. GennianGeandAlanC.H.Ling,Ontheexistenceof(K5-e)-designswithapplicationtoopticalnetworks,SIAMJ.DiscreteMath.21(2007),851-864. GennianGe,Triplewhisttournamentswiththethreepersonproperty,J.Combin.Theory(A)114(2007),1438-1455. GennianGe,GeneralframeconstructionsforZ-cyclictriplewhisttournaments,J.Combin.Theory(A)114(2007),747-760. GennianGe,RyohFuji-HaraandYingMiao,FurtherCombinatorialConstructionsforOptimalFrequency-HoppingSequences,J.Combin.Theory(A)113(2006),1699-1718. GennianGe,E.R.LamkenandAlanC.H.Ling,SchedulingCCRRTournaments,J.Combin.Theory(A)113(2006),352-379. Jean-ClaudeBermond,CharlesJ.Colbourn,DavidCoudert,GennianGe,AlanC.H.LingandXavierMu~noz,Tra_cGroominginUnidirectionalWDMringswithGroomingRatioC=6,SIAMJ.DiscreteMath.19(2005),523-542. GennianGe,YingMiaoandLihuaWang,Combinatorialconstructionsforoptimalsplittingauthenticationcodes,SIAMJ.DiscreteMath.18(2005),663-678. GennianGeandAlanC.H.Ling,Asystematicapproachtosomeblockdesignconstructions,J.Combin.Theory(A)108(2004),89-97. G.GeandC.W.H.Lam,SomenewtriplewhisttournamentsTWh(v),J.Combin.Theory(A)101(2003),153-159. G.Ge,R.S.ReesandL.Zhu,Group-divisibledesignswithblocksizefourandgrouptypegum1withmaslargeorassmallaspossible,J.Combin.Theory(A)98(2002),357-376. GennianGeandJianxingYin,Constructionsforoptimal(v,4,1)opticalorthogonalcodes,IEEETrans.Inform.Theory47(2001),2998-3004.