椭圆曲线公钥密码体制中标量乘法运算快速算法地研究.pdf

Abstract The Curve onthe standard Curve Elliptic Cryptosystems(ECC)，basedElliptic Discrete NKoblitzandVMillerin1985 LogarithmPrOblem(ECDLP)_：Wasproposedby cnrveisanintersectionofthethree Elliptic subjects：algebratheory,algebrageometry has and lots吾f ittome parsealgebra．It panic矗larlycharacters，t。apply ei密矗e渤g fieldsuchas then anew ECC hasattracts ciphertechnologybring subject manycipher scholars atthe becamea ofthe interestingbeginning,andhotspot publickey cryptosystems- ECChasbeenstudiedformorethanten sinceithadbeen years resultshavebeenmadethe scholars．ECChasthemostshortest many by cipher key theECDLPisconsideredmost asthe difficult ECCis intensity,and question．So consideredasthefuture key insteadoftheRSA consistently publiccryptosystems ordertoreachtheextentof arestill cryptosystems．In applicability,theremany havetobeenresolved．For ofthe questions instance,theqtlestion efficiency curve the oftherandom implementationofellipticcryptosystems，andquestion security selectionofthe the ofthe ofthe