4.1 Breakthrough curves and adsorption capacity of different materials under dry air conditions ......................................................................................................................... 25
p 74 3.3.4.2 The Generalized Discrete Logarithm Problem 75 3.3.4.3 Attacks Against DLPs 76 3.4 Hash Functions 77 3.4.1 Introduction 77 3.4.2 Properties of Hash Functions 78 3.4.3 Security of Hash Functions and the Birthday Attack 80 3.4.4 Real Hash Functions 84 3.4.4.1 Classification of Hash Functions 84 3.4.4.2 The Merkle–Damgård Construction 84 3.4.4.3 Structural Weakness 88 3.4.4.4 Security of Real-Life Dedicated Hash Functions 89 3.5 Merkle Trees 91 3.6 Elliptic Curve Cryptography 92 3.6.1 Weierstrass Equations 93 3.6.2 Elliptic Curves 95 3.6.2.1 Definition 95 3.6.2.2 The j -Invariant 95 3.6.2.3 Group Law 96 3.6.3 Elliptic Curves over Finite Fields 102 3.6.3.1椭圆形曲线的示例P 103 3.6.3.2添加点105
+ No DSL, plain Go, no dependencies + Compiles large circuit (seconds) + Playground, constraints profiler, … + multiple curves and backends + MPC trusted setup + Web2 and Solidity verification + Several packages audited (by Algorand, EF, Worldcoin and Linea) + One code base which performs well on:
1。From: Thomas Pornin (NCC Group), Date: October 22, 2024 In the new SP 800-131Ar3 draft, in section 3 (digital signatures), lines 366-373, it is written that curves such that “224 <= len(n) < 256” are acceptable for generating signatures, but will be deprecated after year 2030, whereas curves such that “len(n) >= 256” will remain 2030年以后可接受。由于n是“基点G的顺序”(第328行),因此这些陈述的结果是在EDDSA中使用曲线25519(即非常常见的“ ED25519”)将在2030年以后进行弃用:在该曲线中,整个曲线顺序略高于2^255,但基点G的顺序仅略高于2^252,这意味着Len(n)=253。由于SP 800-186建议使用Curve25519,而新的SP 800-131AR3草案明确遵循SP 800-186(第362行),我想这种折旧副作用并不意外。我建议稍微降低截止长度,例如进入“ 224 <= len(n)<250”和“ len(n)> = 250”,因此曲线25519在2030年以后保持正式可接受。
通过教育和财富在15-49岁的联盟妇女中使用任何避孕方法利用的集中指数和曲线; Ethiopia NHES2022/23 .......................................................................................................................................... 9 Figure 10: Percent distribution of married or in union women age 15-49 received modern contraceptive method by region; Ethiopia NHES2022/23 .......................................................................................................................................................................................... 10 Figure 11: Concentration curves of modern contraceptive method use among married or in union women age 15-49 by maternal education level and wealth; Ethiopia NHES2022/23 ............................................................................................................................... 10 Figure 12: Percent of women receiving ANC1+ by region; Ethiopia NHES2022/23 .............................................................................. 11 Figure 13: Percent of women receiving ANC4+ by region; Ethiopia NHES2022/23 ............................................................................ 11 Figure 14: Percent of delivery in health facility by age, residence, education, and wealth; Ethiopia NHES2022/23 .............................. 12 Figure 15: Percent of women's institutional delivery by region; Ethiopia NHES2022/23 ...................................................................... 12 Figure 16: Concentration indices and curves of institutional delivery by wealth and education level;埃塞俄比亚NHES2022/23 ............. 12
• A multitude of interesting features : such as removable Li-ion batteries for easy shipping and replacement, external battery powering possibility, removable/adaptable signal filters, decay curves stored with one sample every 10 ms (full decay curve), datafiles download on a USB key or by Wi-Fi from laptop and any smartphone or tablet, internal GPS included and automatic handle of local and global coordinates to visualize your profiles on Google地球,还有许多发现
An integrated and user-friendly application for Exploratory Data Analysis enables the fast computation and display of various statistics (i.e., histograms, box plots, cross-plots, swath plots, probability plots, H- scatter plots), variograms, variogram maps, Gaussian transforms, and theoretical grade-tonnage curves just by simple drag and drop of variables.用户对Kriging或仿真所需的所有输入(变量图模型,平稳性选项,变形功能)都存储在一个专用对象中。它可以保证一致性,并使进一步的参数设置更加简单。
•完整的套件B支持•不对称:RSA,DSA,DIFIE-HELLMAN,椭圆曲线加密(ECDSA,ECDH,ED25519,ECIES),命名,用户定义和Brainpool Curves,kcdsa等 more • Hash/Message Digest/HMAC: SHA-1, SHA-2, SHA-3, SM2, SM3, SM4 and more • Key Derivation: SP800-108 Counter Mode • Key Wrapping: SP800-38F • Random Number Generation: designed to comply with AIS 20/31 to DRG.4 using HW based true noise source alongside NIST 800-90A compliant CTR-DRBG • Digital Wallet Encryption: BIP32
摘要。在2010年,弗里曼(Freeman),斯科特(Scott)和特斯克(Teske)出版了一本著名的分类单元,汇编了配对友好型椭圆形曲线的最著名家族。从那时起,研究工作主要从对配对友好曲线的产生转变为算法的改进或对安全插曲的评估,以抵制对离散对数问题的最新攻击。因此,很少有新家庭被发现。然而,在某些新应用中(例如Snarks)中,需要对质量顺序的曲线进行配对曲线,重新激发了对配对友好友好曲线的产生的兴趣,希望能找到类似于Barreeto和Naehrig发现的家庭的兴趣。在Kachisa,Schaefer和Scott的工作中建立了建设,我们表明,环形磁场的二次扩展的某些特定要素会产生与小参数配对曲线的家族。通过在这些元素之间进行详尽的搜索,我们发现了嵌入度k = 20,k = 22和k = 28的曲线的新家族。我们提供了我们技术的开源SageMath实施。我们从新家庭获得加密大小的曲线,并在某些新曲线上提供了概念验证的sagemath实现。关键字:椭圆曲线,基于配对的密码
• 量子环境下的超奇异椭圆曲线 (SSEC):随着量子计算的发展,传统的 ECC 可能会因 Shor 算法等量子算法而变得脆弱。SSEC 提供了一种潜在的解决方案,可以更好地抵御量子攻击。这些曲线利用超奇异椭圆曲线之间的同源性,创建了当前量子算法无法有效解决的复杂结构,使 SECC 成为后量子密码学的理想候选者。