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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：From curve counting on Calabi-Yau 4-folds to quasimaps for quivers with potentials
Calabi-Yau 曲线计数 4-folds
2023/4/23
I will start by reviewing an old joint work with Davesh Maulik and Yukinobu Toda on relating Gromov-Witten, Gopakumar-Vafa and stable pair invariants on compact Calabi-Yau 4-folds. For non-compact CY4...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The category BC in terms of the Fargues–Fontaine curve
Pythagorean-Hodograph曲线 BC类别 [LB18， §5-7]
2023/5/5
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The category BC in terms of the Fargues–Fontaine curve
法格-枫丹曲线 BC类别 [LB18， §5-7]
2023/5/6
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Application of algebraic curve theory to integrable systems
代数曲线理论 可积系统 紧黎曼曲面
2023/5/5
We first consider the basic theory of algebraic curves, including the compact Riemann surface, Riemann-Hurwitz formula, Baker-Akhiezer function, three kinds of Abelian differentials, the construction ...
Breaking the Bluetooth Pairing – The Fixed Coordinate Invalid Curve Attack
Bluetooth elliptic curve cryptosystem Diffie-Hellman
2019/9/19
Bluetooth is a widely deployed standard for wireless communications between mobile devices. It uses authenticated Elliptic Curve Diffie-Hellman for its key exchange. In this paper we show that the aut...
A new elliptic curve point compression method based on Fp-rationality of some generalized Kummer surfaces
elliptic cryptography point compression Barreto-Naehrig curves
2019/9/19
In the article we propose a new compression method (to 2log2(p)+32log2(p)+3 bits) for the Fp2Fp2-points of an elliptic curve Eb:y2=x3+bEb:y2=x3+b (for b∈F∗p2b∈Fp2∗) of jj-invariant ...
A New Attack on RSA and Demytko's Elliptic Curve Cryptosystem
RSA Cryptanalysis Coppersmith's method
2019/9/19
Let N=pqN=pq be an RSA modulus and ee be a public exponent. Numerous attacks on RSA exploit the arithmetical properties of the key equation ed−k(p−1)(q−1)=1ed−k(p−1)(q...
Improved Cryptanalysis of the KMOV Elliptic Curve Cryptosystem
public-key cryptography KMOV
2019/9/19
This paper presents two new improved attacks on the KMOV cryptosystem. KMOV is an encryption algorithm based on elliptic curves over the ring ZNZN where N=pqN=pq is a product of two large primes of eq...
A New Method for Geometric Interpretation of Elliptic Curve Discrete Logarithm Problem
Intersection of Curves Grobner Basis Vanishing Ideals
2019/9/19
In this paper, we intend to study the geometric meaning of the discrete logarithm problem defined over an Elliptic Curve. The key idea is to reduce the Elliptic Curve Discrete Logarithm Problem (EC-DL...
Distributing any Elliptic Curve Based Protocol: With an Application to MixNets
cryptographic protocols SPDZ
2019/7/8
We show how to perform a full-threshold nn-party actively secure MPC protocol over a subgroup of order pp of an elliptic curve group E(K)E(K). This is done by utilizing a full-threshold nn-party activ...
Prime, Order Please! Revisiting Small Subgroup and Invalid Curve Attacks on Protocols using Diffie-Hellman
formal verification symbolic model tamarin prover
2019/5/21
Diffie-Hellman groups are a widely used component in cryptographic protocols in which a shared secret is needed. These protocols are typically proven to be secure under the assumption they are impleme...
Fast and simple constant-time hashing to the BLS12-381 elliptic curve
hash functions elliptic curve cryptosystem implementation
2019/4/23
Pairing-friendly elliptic curves in the Barreto-Lynn-Scott family have experienced a resurgence in popularity due to their use in a number of real-world projects. One particular Barreto-Lynn-Scott cur...
Degenerate Fault Attacks on Elliptic Curve Parameters in OpenSSL
OpenSSL Elliptic curve cryptography Invalid curve attack
2019/4/22
In this paper, we describe several practically exploitable fault attacks against OpenSSL's implementation of elliptic curve cryptography, related to the singular curve point decompression attacks of B...
中国地质大学科学技术发展院陈孝君(博士研究生),姚光庆* 等, 资源学院/构造与油气资源教育部重点实验室 JGR-Solid Earth, 2019, Capillary Pressure Curve Determination Based on a 2‐D Cross‐Section Analysis Via Fractal Geometry: A Bridge Between 2‐D and 3‐D Pore Structure of Porous Media（图）
二维；多孔介质；三维；输运机理
2021/10/20
近日，国际地球物理Nature Index期刊《Journal of Geophysical Research: Solid Earth》刊出了中国地质大学关于多孔介质二维和三维之间输运机理方面的最新研究成果：基于分形几何的二维截面分析确定毛细管压力曲线：多孔介质的二维和三维孔隙结构之间的桥梁(Capillary Pressure Curve Determination Based on a 2-...
SOLVING THE RATIONAL POLYNOMIAL COEFFICIENTS BASED ON L CURVE
RPC model Tikhonov Regularization method L Curve orthorectification rigorous sensor model ill conditioned equation
2018/5/17
The rational polynomial coefficients (RPC) model is a generalized sensor model, which can achieve high approximation accuracy. And it is widely used in the field of photogrammetry and remote sensing. ...