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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic Structures from Integral Equations
积分方程 代数结构 代数分析
2023/11/29
Even though the research style of algebra and analysis are quite different, many algebraic structures naturally arose from analysis, differential equations and integral equations, inspiring further ap...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Singular integral and geometry
奇异积分 几何 谐波分析
2023/5/8
The geometric considerations enter in a decisive way in many questions of harmonic analysis. For example, the estimation of the Fourier transform of surface-carried measure, which played a key role in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On forward/inverse spectral problems, approximation problems and multiple integral formulae for non-smooth solitons
非光滑孤子 正/逆谱问题 近似问题 多重积分公式
2023/4/28
A class of nonlinear integrable PDEs admit non-smooth solitary wave solutions as certain special weak solutions. These solutions can be used to capture main attributes of solutions of these PDEs, e.g....
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Integral equations with bubble-type kernel via the method of moving spheres
运动球体 气泡型核 积分方程
2023/4/27
In this talk, I will describe a moving sphere approach to a class of integral equations with bubble-type kernel. This class of equations comes from higher-order elliptic equations on the standard sphe...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Strong approximation and integral quadratic forms over affine curves
仿射曲线 强近似 积分二次形式
2023/5/9
Let $k$ be a field of characteristic 0 and let $C$ be the a smooth affine curve over $k$. We will first discuss applications of strong approximation to the theory of integral quadratic forms over $C$....
Mixture Integral Attacks on Reduced-Round AES with a Known/Secret S-Box
AES Mixture Differential Cryptanalysis Secret-Key Distinguisher
2019/7/8
The starting point of our work is “Mixture Differential Cryptanalysis” recently introduced at FSE/ToSC 2019, a way to turn the “multiple-of-8” 5-round AES secret-key distinguisher presented at Eurocry...
Integral Matrix Gram Root and Lattice Gaussian Sampling without Floats
Lattice based cryptography Discrete Gaussian sampling Matrix decomposition
2019/4/1
Many advanced lattice based cryptosystems require to sample lattice points from Gaussian distributions. One challenge for this task is that all current algorithms resort to floating-point arithmetic (...
MILP Method of Searching Integral Distinguishers Based on Division Property Using Three Subsets
Division property using three subsets Integral distinguisher MILP
2018/12/11
Division property is a generalized integral property proposed by Todo at EUROCRYPT 2015, and then conventional bit-based division property (CBDP) and bit-based division property using three subsets (B...
GEOPHYSICAL PARAMETER RETRIEVAL FOR MICROWAVE C BAND SYNTHETIC APERTURE RADAR (SAR) DATASET USING INTEGRAL EQUATION MODEL
Microwave SAR Geophysical Parameters IEM Modelling
2019/2/28
The microwave remote sensing is highly useful, as it provides synoptic observation of the Earth’s surface or planetary bodies, regardless of day or night and the atmospheric conditions, propagation th...
Towards Key-Dependent Integral and Impossible Differential Distinguishers on 5-Round AES
AES Key-Dependent Integral
2018/8/10
Reduced-round AES has been a popular underlying primitive to design new cryptographic schemes and thus its security including distinguishing properties deserves more attention. At Crypto'16, a key-dep...
The division property method is a technique to determine integral distinguishers on block ciphers. While the complexity of finding these distinguishers is higher, it has recently been shown that MILP ...
Faster Homomorphic Function Evaluation using Non-Integral Base Encoding
public-key cryptography homomorphic function evaluation
2017/4/19
In this paper we present an encoding method for fixed-point numbers tailored for homomorphic function evaluation. The choice of the degree of the polynomial modulus used in all popular somewhat homomo...
Applying MILP Method to Searching Integral Distinguishers Based on Division Property for 6 Lightweight Block Ciphers
MILP division property integral cryptanalysis
2016/12/10
Division property is a generalized integral property proposed by Todo at EUROCRYPT 2015, and very recently, Todo et al. proposed bit-based division property and applied to SIMON32 at FSE 2016. However...
On the Design Rationale of SIMON Block Cipher: Integral Attacks and Impossible Differential Attacks against SIMON Variants
SIMON Lightweight block cipher Integral attack
2016/6/20
SIMON is a lightweight block cipher designed by NSA in 2013. NSA presented the specification and the implementation efficiency, but they did not provide detailed security analysis nor the design ratio...
Improved Integral and Zero-correlation Linear Cryptanalysis of Reduced-round CLEFIA Block Cipher
CLEFIA Integral attack Zero-correlation linear cryptanalysis
2016/2/23
CLEFIA is a block cipher developed by Sony Corporation in 2007. It is a recommended
cipher of CRYPTREC, and has been adopted as ISO/IEC international standard in lightweight
cryptography. In this pa...