signature n. 1.签名,署名,画押,盖章。 2.【音乐】记号〔调号或拍子记号〕;【无线电】(广播节目开始或完毕的)信号曲;【代数】符号差;【印刷】装钉用折叠号码;【医古】外征;【药学】(注明在药瓶上的)用法说明〔略 S, sig.〕;〔古语〕象征,特征。 add one's signature to 在…上签字。 a time signature 【音乐】拍子记号。 a key signature 【音乐】调号。 bear the signature 有署名,签过字。 over sb.'s signature 经某人签名,有某人签字为凭。
Then we do some research about the basic protocols , the elliptic curve diffie - hellman protocol is improved as it can ’ t make identity authentity and can ’ t resist third party ’ s attacks ; at the same time , the signature equation of elliptic curve digital signature algorithm is reconstructed , and the improved kp + lqalgorithm is applied into verification stage , the whole speech of the protocol is improved greatly 接着,研究和分析了基于ecc的各类密码协议。针对密钥交换协议不能进行身份鉴别以及存在第三方攻击的问题,对其加以改进;同时,对数字签名协议中的签名方程重新构造,并将优化的kp + lq算法用于验证过程,提高了协议的执行效率。
This thesis applies respectively the improved one - time password authentication mechanism and the elliptic curve digital signature algorithm status authentication mechanism to business - to - client ( b2c ) and business - to - business ( b2b ) electronic commerce systems , and provides a new framework model of electronic commerce status authentication systems . at last , this thesis gives an implementation of the status authentication system , which can resist the small - number attack and replay attack 将改进的一次性口令认证技术和有限域上椭圆曲线密码技术分别应用于b2c和b2b电子商务身份认证系统中,提出一种新的电子商务身份认证系统结构模型,并实现了该电子商务身份认证系统,该身份认证系统可以有效地抵御重放攻击和小数攻击。
The system makes good use of the advantages of dsp ’ s very suiting scientific calculation , and offsets the shortages brought by the complicated encryption algorithms in traditional software . it can consider the real time ability and security of the data encryption synchronously , so that it will make the transformation from traditional software encryption to special hardware encryption with low cost but high performance , and extend the application areas of digital signature algorithms to field data encryption . so it will possess high practical value and a beautiful future 该系统充分利用了dsp芯片特别适合科学计算的优势,克服了传统应用中复杂加密算法用软件实现带来的缺陷,可以兼顾数据加密的实时性与安全性,从而实现了传统软件加密向低成本高性能专用加密硬件的转变,同时也拓展了数字签名算法在现场数据加密等方面的应用范围,具有很好的实用价值和发展前景。
Base on the improved elliptic curve digital signature algorithm , we designs a new multi - signature scheme with high security and great operation quality ; then , by combining the signature and encryption operation , the signcryption scheme which provides third party ’ s verification and forward security is given 基于改进的椭圆曲线数字签名协议( ecdsa ) ,设计了一个安全、高效的多重数字签名方案;将签名和加密相结合,给出一个具有前向安全性的、支持第三方验证的签密方案。
Firstly , we generalize and analyze the advantages and present research of elliptic curve cryptography ; secondly , we study the basic theory of the ecc ; thirdly , we illustrate the safety of the ecc and discuss the elliptic curve key agreement scheme , elliptic curve encryption scheme and elliptic curve digital signature algorithm ; fourthly , we study fast algorithms of the multiplication and inversion multiplication of the element of in the underlying finite field f2m whose characteristic is two represented by the two basis of optimal normal basis and polynomial basis . we make improvements to the fast algorithm of the polynomial basis multiplication by hankerson and base on the experiments , we describe the properties and compare the advantages of the multiplication and inversion multiplication of the elements in f2m field under optimal normal bases and polynomial basis . results concluding from the study car be used as references in the realization of the elliptic curve cryptosystem ; fifthly , we overview the current fast algorithm of point multiplication , improve the fix base point comb algorithm , advance the speed of the whole system and remark the advantages and disadvantages of the popular algorithms based upon the experimental datas ; sixthly we realize the algorithm library of elliptic curve cryptography based on the f2m . only change slightly in our algorithm library can we realize the ecdh , eces , ecdsa based onf2m of anysize ; seventhly , we realize the ecc on two secure elliptic curves , including ecdh , eces , ecdsa 本文首先介绍并分析了椭圆曲线密码体制的优点及研究现状;其次研究了椭圆曲线密码体制的基本理论;第三,分析了椭圆曲线密码的安全性并介绍了密钥共享,加密,数字签名等椭圆曲线密码体制;第四,深入研究了特征为2的有限域f _ 2m中的元素在多项式基和最优正规基表示下的乘法运算和乘法逆运算的快速算法,并对hankerson等人提出的多项式基下的乘法运算的快速算法作了改进,而且在实验的基础上不仅分析研究了f _ 2m域中元素在多项式基和最优正规基表示下的乘法和乘法逆运算的性能,还对这两种基表示下的f _ 2m域中元素运算效率的优劣作了比较和研究,所得的结论可供在实现椭圆曲线密码体制时参考;第五,研究了目前流行的计算椭圆曲线标量乘法的快速算法,同时改进了固定基点梳形法,提高了整个系统的速度,并在实验的基础上分析研究了流行算法的优劣;第六,实现了基于f _ 2m的椭圆曲线密码体制的算法库,在我们的算法库中只需稍微改变便能实现基于任意尺寸的f _ 2m上的ecdh , eces , ecdsa等椭圆曲线密码体制;第七,实现了两条安全椭圆曲线上的椭圆曲线密码体制,包括ecdh , eces , ecdsa 。
The main contributions of the dissertation are summarized as follows . ( 1 ) elliptic curve cryptosystems in optimal extension fields ( oef ) , including elgamal encryption algorithm , diffie - hellman key agreement scheme and elliptic curve digital signature algorithm ( ecdsa ) , are implemented , and a software package , which is applicable to microcomputers , is developed 本文所取得的主要研究成果是: ( 1 )完整实现最优扩域oef上的椭圆曲线密码体制,其中包括elgamal加密算法、 diffie - hellman密钥共享方案以及椭圆曲线数字签名算法ecdsa ,并且提供了相应的适合在微机上实现的软件包。