查询词典 elliptic modular group

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ)，这两类序列具有"优"的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的&良性&分布与高阶相关性(correlation of order κ)，这两类序列具有&优&的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

The biomechanical tests showed that two kinds of artificial bones had not significant difference on compressive strength and Young\'s modulus(P＞0.05),while the flexural strength of nano-nacre artificial bone was less than the control group(P＜0.05).3.The results of CCK-8 showed that the difference were not significant in each group,the proliferation of osteoblast reached the peak at the 5th day;7 days after being co-cultured,the total protein content of study group was higher than control group and blank group(P＜0.05),while the difference between control group and blank group was not significantP＞0.05The difference of alkaline phosphatase activities among three groups was not significant(P＞0.05The SEM view showed that osteoblast attached and grew well in two kinds of artificial bone.4.X-ray photography showed that two kinds of powder started to degrade in 2 weeks;this phenomenon became more appear in 4 weeks,nano-nacre powder degraded faster than micron-nacre powder,while the hole shadow was easy to be found;in 8 weeks,all the femoral holes recovered and returned to normal bone mineral density in all groups.Analysis of tetracycline fluorescent double marks in the hard tissue grinding slices indicated that new bone grew fastest around the bone defect area in study group,while most slowly in blank groupP＜0.05 SEM(scanning electron microscope observation showed that nano-nacre powder degraded more quickly.The same result can be found through the demineralized sections morphometric analysis,and both of the composite artificial bones made from those two kinds of nacre powder had the good connection with the adjacent tissue in rats body without apparent inflammatory response.5.X-ray photography showed that rabbit\'s bone defects healed faster in study group since NNAB implanted than in control group since MNAB implanted.At 24 weeks after operation,bone density in radial defects had nearly accessed to the normal area,while lower in control group,and turned up nonunion in blank group;The checking of BMD showed that results in study group were higher than those in control group at 8,16 and 24 week(P＜0.05), and the difference between the BMD values in study group at 24 week and those in blank group was not significant(P＞0.05).The gross specimens showed satisfactory histocompatibility both in study group and in control group,with bone tissue growing from two sides into the center of implanted materials; Normal slices in HE stain and hard tissue grinding slices in Stevenel\'s blue/Van Geison\'s picro-fuchsin stain showed that the bone growth tendency was better in study group than that in control group,and the medullary cavity had been penetrated to the implanted materials in study group at 24 week;Analysis of tetracycline fluorescent double marks in the hard tissue grinding slices indicated that new bone in both groups grew fastest 8 weeks after surgery,while slow down at 16 week.

纳米珍珠层/消旋聚乳酸复合人工骨与微米珍珠层/消旋聚乳酸复合人工骨分别与成骨细胞共培养后，其各时间点CCK-8法检测值与空白对照无显著差异(P＞0.05)，成骨细胞均在第5天达到增殖高峰期；培养7天后，实验组细胞蛋白含量高于对照组及空白组(P＜0.05)，后两者之间则无显著差异P＞0.05碱性磷酸酶活性在三组间均无显著差异(P＞0.05电镜下可见成骨细胞在两种人工骨上都有良好生长贴附能力。4.X-ray显示两种粉体在大鼠股骨骨洞植入第2周时都开始出现了降解，第4周时更为明显，纳米珍珠层粉较之微米珍珠层粉降解更快，而空白对照组骨洞阴影仍可见，至8周时，则所有组骨洞均己闭合修复，X-ray下已不可见原钻孔痕迹，恢复正常骨质密度；硬组织磨片四环素荧光双标记结果显示纳米珍珠层粉植入组较其余两组在骨缺损区周围新骨生长速度更快，空白组速度最慢P＜0.05电镜观察及常规脱钙切片亦可见到纳米粉体降解较快；由以上两种原材料制得的纳米珍珠层/消旋聚乳酸复合人工骨与微米珍珠层/消旋聚乳酸复合人工骨在大鼠体内均与周围组织结合良好，无明显炎症反应。5.X-ray显示纳米珍珠层/消旋聚乳酸复合人工骨植入兔桡骨缺损区后其骨愈合速度较对照组微米珍珠层/消旋聚乳酸复合人工骨植入的快，至植入术后24周，实验组骨缺损区接近正常骨密度，对照组骨缺损区密度较低，空白组则呈现骨不连状态；骨密度测量结果显示术后8周、16周、24周实验组的骨密度值高于对照组(P＜0.05，24周实验组的骨密度值与术前所测得的正常值无显著性差异P＞0.05动物取材大体所见均显示组织相容性良好，骨组织逐渐由植入材料两端向中央生长；常规切片HE染色及硬组织磨片Stevenel\'s blue/Van Geison\'s picro-fuchsin联合染色均可见实验组骨缺损区长势优于对照组，至术后24周，实验组骨髓腔与材料已呈相交通状；硬组织磨片荧光显微镜下观察，两组材料在术后8周处于骨生长最快速时期，16周时速度开始减慢，术后4、8、16周时实验组的新骨生长速度均较对照组的快

Device driver includes hardward modular, interrupt modular, function modular, initializtion/finalization modular, character device interface modular and network device interface modular. User processes includes link scan task, layer 3 unicast task , layer 3 multicast task, management interface and network protocols.

设备驱动程序主要包括硬件模块、中断处理模块、功能模块、初始化/卸载模块、字符设备接口模块和网络设备接口模块；用户进程主要包括链路状态扫描任务、三层单播任务、三层组播任务、管理界面和网络协议。

A high-performance modular exponentiation coprocessor, SEA, is presented here, and three novel ways are employed. First, a parallel binary modular exponentiation algorithm is used to decrease cycles, and a high radix Montgomery modular multiplication algorithm is modified to the radix based high radix Montgomery modular multiplication algorithm to increase the frequency; second when mapping algorithms to a systolic array, modular square and modular multiplication are alternatively computed to cover up the dependencies between iterations in the RBHRMMM algorithm and the bypass is used to eliminate the dependencies in the PBME algorithm; third, multipliers are split first, and then accumulations are compressed as partial products to decrease carry propagation delay in the critical path.

SEA是一种针对大数模幂的高性能协处理器，其主要采用如下3种加速方法：①采用二进位并行模幂算法和以基数长度为处理字长的高基数Montgomery算法；②将算法映射到脉动阵列处理结构，并交替计算平方和乘以掩盖RBHRMMM算法中的相关，同时应用定向技术消除PBME算法中的相关；③基於"先拆分乘法、后将累加压缩"的思想优化关键路径。

Furthermore, out of 497 fAFLP markers, 80 special bands were found to be able to distinguish the four groups from each other and may be applied for germplasm characterization and molecular assistant classification of Meretrix clam.4 Molecular classification of two species of Meretrix clam based on fAFLP and ITS sequences4.1 The results of fAFLP maker analysis of S, G and W showed that each group had their own specific loci among which there were 53 special loci in W group, much more than those of S group (14) and G group (21). Among the 53 loci, nine were all dominant loci. These unique loci could be taken as molecular markers to distinguish W from other groups. The genetic similarity indexes and distance matrix between S and G groups were 0.9585 and 0.0424 respectively, but the genetic similarity indexes and distance matrix between W group and S or G group was 0.7939 or 0.7941, and 0.2308 or 0.2305 respectively. The results revealed that significant difference existed between W and S or G groups in molecular genetic structure. The phylogenetic trees by the methods of UPGMA and NJ also indicated that S and G populations were very closely related, while W population was a relatively independent cluster, lying beyond the species which S and G belong to.4.2 The internal transcribed spacer region of the rDNA from S group, G group and W group were PCR amplified and sequenced. The results showed that the size of ITS ranged between 1266-1269bp in W group, while those in G and S groups were 1614bp and 1520bp respectively. The GC content ranged 62.32-62.62% in W group while it was 61.77% in G group. The genetic distances between three populations of W group were 0.001～0.003, but it was 0.110 or 0.147 respectively between W group and G group or S group. Phylogenetic trees by NJ method also showed that G group was very closely related to S group, while W group was a relatively independent cluster.

在457个总扩增位点中找出了53个W的特有位点，远多于S群体(14)和G(21)群体，而且在53个特有位点中有9个出现频率为100%的位点，这些位点可以作为区分其它2个群体的特征性标记；S– G群体特有的位点有112个，其中有4个位点出现频率为100%，可作为S– G群体区别于W群体的特征性标记。S群体和G群体间的遗传相似性系数为0.9585，遗传距离只有0.0424，在NJ和UPGMA法构建的亲缘关系的树状图上均首先聚在一起，说明二者的亲缘关系很近，应属于种内群体间的关系；而W与S和G的遗传相似性系数均较小(0.7939和0.7941)，相对遗传距离很大而且十分相近(0.2308和0.2305)，在亲缘关系树状图上单独分出一支，也表明W与S和G群体间的亲缘关系较远。4.2 ITS序列比较分析通过对白壳文蛤、山东文蛤和广西文蛤的ITS序列扩增电泳、PCR-RFLP分析和ITS序列分析发现，W的ITS序列长度在1266-1269 bp，而S和与G的ITS序列总长度分别为1520 bp和1614 bp；从ITS1和ITS2长度来看，W分别为739-741 bp和316-317 bp，S为895 bp和414 bp，G为987 bp和416 bp；而从ITS碱基组成来看，W的GC含量在62.32-62.62%之间，而G群体为61.77%。W的3个壳色不同群体间的遗传距离仅0.001、0.002和0.003，S与G群体间的遗传距离是0.010，说明W群体内变异很小，而S与G群体间已出现明显的遗传分化，但还均属于种内群体间的遗传变异；而W与G和S的遗传距离分别达到0.110、0.147，两个类群差异显著，已远超出种内群体间的遗传变异。

Garments fast quotation system is composed of costing modular, material database modular, reference price modular, form modular and system intro modular.

服装快速报价系统由成本计算模块、面辅料数据库模块、参考价格模块、报表模块和系统简介模块构成，分别为用户提供服装各项成本的计算、面辅料的参考价格、整件服装。

in order to probe into whether glycine supplementation plays an adjusting role in sports performance and immune functions, the authors divided 30 mice randomly into an exhaustive exercising group (e1), glycine supplemented exhaustive exercising group (e2) and a normal resting control group, with 10 mice in each group, supplemented glycine to mice in group e2 and physiological saline to mice in the other two groups, let mice in groups e1 and e2 do an exhaustive swimming exercise 4 weeks later, applied the trace ch50 hemolysis method to analyze supplement activity, applied the mtt method to perform a quantitative analysis on the lymphopoiesis ability of spleen, and thus revealed the following findings: compared with mice in group e1, the time taken by mice in group e2 to swim to an exhausted state is significantly longer (p.05); total supplement activity in blood serum of mice in group e1 is significantly lower than the same of mice in group s (p＜0.01), and total supplement activity in blood serum of mice in group e2 is significantly higher than the same of mice in group e1 (p.01), but still significantly lower than the same of mice in group s (p.05); as observed from the test of the lymphopoiesis ability of spleen, the lymphopoiesis ability of spleen of mice in group e1 is significantly lower than the same of mice in group s, and the lymphopoiesis ability of spleen of mice in group e2 is significantly higher than the same of mice in group e1, but still significantly lower than the same of mice in group s.

四型肽精氨酸脱氨酶在类风湿性关节炎。。。以马来酸酐与氨水为原料热缩聚法合成。。。摘要：为探讨甘氨酸补充对运动能力及免疫功能是否具有调节作用，将30只小鼠随机分成力竭游泳运动组(e1)、甘氨酸补充后力竭游泳组(e2)和静息正常对照组，每组10只。在e2组补充甘氨酸，其余两组给予生理盐水，处理4周后，e1组和e2组均做力竭性游泳运动。采用微量ch50溶血法分析补体活性，采用mtt法定量分析脾脏淋巴细胞增殖能力。结果显示，与e1组比较，e2组游泳至力竭的时间显著延长(p＜0.01)。e1组血清总补体活性显著低于s组(p＜0.01)，e2组显著高于e1组(p.01)，但仍显著低于s组(p.05)。在脾脏淋巴细胞增殖试验中观察到，e1组显著低于s组，e2组显著高于e1组但仍显著低于s组。

Including the People's Government of Jiangmen City, Jiangmen City Health Bureau, Guangdong Midea Group, Qingdao Haier Group, Formosa Plastics Group, Dongfeng Motor, FAW, Isuzu Motors, Shanghai, Chery Automobile, Shanghai Volkswagen, Zhejiang Geely Holding Group, Master Kang Group, ThyssenKrupp, Japan Canon, LG Electronics Co., Japan's Sumitomo, Dongguan high-Fu Lee, China Petrochemical, Guangdong Fenghua Hi-Tech , TCL Group, Zhuhai Gree Electric Appliances, Ningbo Bird Group, Huawei Technologies, Eagle Holdings, Guangdong New Technology Group, Hong Kong Stationery Group, China's New Hope Group, Luoyang Glass Group, the Southern Rubber Group, Shunde Temin Enterprise Group, Shanghai on the Allianz Group, Liuzhou Railway Bureau, the National Institute substances Reserve, Hubei motor Group, Qingdao Beer Group and Liuzhou Wuling Automobile, Zhongshan tai feng electrical, Trinity Group, Hong Kong, Taiwan and other famous enterprises and groups We strive to build China's top 500 enterprises.

其中包括江门市人民政府、江门市卫生局、广东美的集团、青岛海尔集团、台塑集团、东风汽车、一汽、五十铃汽车、上海奇瑞汽车、上海大众汽车、浙江吉利控股集团、康师傅集团、蒂森克虏伯、日本佳能、LG电子公司、日本住友商事、东莞利富高、中国石化、广东风华高科、TCL集团、珠海格力电器、宁波波导集团、华为技术、鹰牌控股、广东新的科技集团、香港文具集团、中国新希望集团、洛阳玻璃集团、南方橡胶集团、顺德泰明企业集团、上海上联集团、柳州铁路局、国家物质储备局设计院、湖北省汽运集团、青啤集团、柳州五菱汽车、中山泰峰电气、三一集团、香港台和集团等著名企业，我们努力打造中国企业500 强。

In this paper, we introduce the algorithm of Schoof-Elkies-Atkin to compute the order of elliptic curves over finite fields. We give out a fast algorithm to compute the division polynomial f〓 and a primitive point of order 2〓. This paper also gives an improved algorithm in computing elliptic curve scalar multiplication. Using the method of complex multiplication, we find good elliptic curves for use in cryptosystems, and implemented ElGamal public-key scheme based on elliptic curves. As a co-product, we also realized the algorithm to determine primes using Goldwasser-Kilian's theorem. Lastly, the elliptic curve method of integer factorization is discussed. By making some improvement and through properly selected parameters, we successfully factored an integer of 55 digits, which is the product of two 28-digit primes.

本文介绍了计算有限域上椭圆曲线群的阶的Schoof-Elkies-Atkin算法，在具体处理算法过程中，我们给出了计算除多项式f〓的快速算法和寻找2〓阶本原点的快速算法；标量乘法是有关椭圆曲线算法中的最基本运算，本文对[Koe96]中的椭圆曲线标量乘法作了改进，提高了其运算速度；椭圆曲线的参数的选择直接影向到椭圆曲线密码体的安全性，文中利用复乘方法构造了具有良好密码特性的椭圆曲线，并实现了椭圆曲线上ElGamal公钥体制；文中还给出了利用Goldwasser-Kilian定理和椭圆曲线的复乘方法进行素数的确定判别算法；最后讨论了利用椭圆曲线分解整数的方法并进行了某些改进，在PC机上分解了两个28位素数之积的55位整数。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。