Montgomery方法是椭圆曲线密码中计算多倍点运算 k P的一种新方法。为减少在椭圆曲线数字签名算法验证过程中需完成的 k P+l Q的计算量 ,该文在分析 Mont-gom ery方法的基础上 ,将计算 k P和计算 l Q的流程结合在一起 ,提出了一种计算...Montgomery方法是椭圆曲线密码中计算多倍点运算 k P的一种新方法。为减少在椭圆曲线数字签名算法验证过程中需完成的 k P+l Q的计算量 ,该文在分析 Mont-gom ery方法的基础上 ,将计算 k P和计算 l Q的流程结合在一起 ,提出了一种计算多倍点运算 k P+l Q的新算法 ,使椭圆曲线数字签名算法中验证签名所需的计算量减少了2 5 %。新算法对改善椭圆曲线密码的实现技术具有一定意义。展开更多
In the Dongting water system, the Carassius auratus(Crucian carp) complex is characterized by the coexistence of diploid forms(2n=100, 2n CC) and polyploid forms. Chromosomal and karyotypic analyses have suggested tha...In the Dongting water system, the Carassius auratus(Crucian carp) complex is characterized by the coexistence of diploid forms(2n=100, 2n CC) and polyploid forms. Chromosomal and karyotypic analyses have suggested that the polyploid C. auratus has a triploid(3n=150, 3n CC) and a tetraploid origin(4n=200), respectively. However, there is a lack of direct genetic evidence to support this conclusion. In this paper, analysis of the 5S r DNA chromosomal locus revealed that the 3n CC is of triploid origin. Analysis of the species-specific chromosomal centromere locus revealed that 3n CC individuals possess three sets of C. auratus-derived chromosomes. Our results provide direct cytogenetic evidence suggesting that individuals with 150 chromosomes are of autotriploid origin within the C. auratus complex. It marks an important contribution to the study of polyploidization and the evolution of vertebrates.展开更多
文摘Montgomery方法是椭圆曲线密码中计算多倍点运算 k P的一种新方法。为减少在椭圆曲线数字签名算法验证过程中需完成的 k P+l Q的计算量 ,该文在分析 Mont-gom ery方法的基础上 ,将计算 k P和计算 l Q的流程结合在一起 ,提出了一种计算多倍点运算 k P+l Q的新算法 ,使椭圆曲线数字签名算法中验证签名所需的计算量减少了2 5 %。新算法对改善椭圆曲线密码的实现技术具有一定意义。
基金supported by the National Natural Science Foundation of China (31201987, 31430088, 31210103918)the Doctoral Fund of Ministry of Education of China (20124306120006)+4 种基金the Natural Science Foundation of Hunan Province (14JJ6008)Training Program of the Major Research Plan of the National Natural Science Foundation of China (91331105)the National Key Basic Research Program of China (2012CB722305)the Cooperative Innovation Center of Engineering and New Products for Developmental Biology (20134486)the Construct Program of the Key Discipline in Hunan Province, China
文摘In the Dongting water system, the Carassius auratus(Crucian carp) complex is characterized by the coexistence of diploid forms(2n=100, 2n CC) and polyploid forms. Chromosomal and karyotypic analyses have suggested that the polyploid C. auratus has a triploid(3n=150, 3n CC) and a tetraploid origin(4n=200), respectively. However, there is a lack of direct genetic evidence to support this conclusion. In this paper, analysis of the 5S r DNA chromosomal locus revealed that the 3n CC is of triploid origin. Analysis of the species-specific chromosomal centromere locus revealed that 3n CC individuals possess three sets of C. auratus-derived chromosomes. Our results provide direct cytogenetic evidence suggesting that individuals with 150 chromosomes are of autotriploid origin within the C. auratus complex. It marks an important contribution to the study of polyploidization and the evolution of vertebrates.
