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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(7)&(8)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars："Sobolev extensions"(5)&(6)
Sobolev扩展 Whitney扩展 技术变体
2023/11/29
I will give an introduction to Sobolev extensions, including the use of variants of the Whitney extension technique. I will concentrate on the basics of the theory.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extensions of Projection Theorem in Banach Spaces
投影定理 巴拿赫空间 扩展
2023/5/4
In this talk, we first recall classic projection theorem for closed convex subsets in a Hilbert space. Then we introduce two extensions of the projection theorem in the Banach space where one is estab...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Submodular Functions: Extensions, Distributions, and Algorithms
子模块函数 扩展 分布 算法
2023/5/8
Submodularity is a fundamental phenomenon in combinatorial optimization. Submodular functions occur in a variety of combinatorial settings such as coverage problems, cut problems, welfare maximization...
Tropical cryptography II: extensions by homomorphisms
tropical cryptography public-key cryptography
2018/11/20
We use extensions of tropical algebras as platforms for very efficient public key exchange protocols.
Data Oblivious ISA Extensions for Side Channel-Resistant and High Performance Computing
Data oblivious computing constant time computing secure hardware
2018/11/19
Blocking microarchitectural (digital) side channels is one of the most pressing challenges in hardware security today. Recently, there has been a surge of effort that attempts to block these leakages ...
Function Secret Sharing: Improvements and Extensions
unction secret sharing private information retrieval secure multiparty computation
2018/8/2
FSS schemes are useful for applications that involve privately reading from or writing to distributed databases while minimizing the amount of communication. These include different flavors of private...
Concentrated Differential Privacy: Simplifications, Extensions, and Lower Bounds
differential privacy lower bounds
2016/12/10
"Concentrated differential privacy" was recently introduced by Dwork and Rothblum as a relaxation of differential privacy, which permits sharper analyses of many privacy-preserving computations. We pr...
Side-Channel Protections for Cryptographic Instruction Set Extensions
Side-Channel Analysis DPA Microprocessors
2016/7/14
Over the past few years, the microprocessor industry has introduced accelerated cryptographic capabilities through instruction set extensions. Although powerful and resistant to side-channel analysis ...
Oblivious transfer (OT) is one of the most fundamental primitives in cryptography and is widely used in protocols for secure two-party and multi-party computation. As secure computation becomes more p...
Non-Malleable Extractors and Codes, with their Many Tampered Extensions
Non-Malleable Extractors Codes
2016/4/7
Randomness extractors and error correcting codes are fundamental objects in computer science. Recently, there have been several natural generalizations of these objects, in the context and study of ta...
Polynomial Time Attack on Wild McEliece Over Quadratic Extensions
public-key cryptography wild McEliece cryptosystem filtration
2016/1/25
We present a polynomial time structural attack against the McEliece system
based on Wild Goppa codes from a quadratic finite field extension. This attack uses the fact
that such codes can be disting...
Self-Updatable Encryption with Short Public Parameters and Its Extensions
Public-key encryption Self-updatable encryption Ciphertext delegation
2016/1/23
Cloud storage is very popular since it has many advantages, but there is a new threat to cloud storage that was not considered before. Self-updatable encryption that updates a past ciphertext to a fu...
A LINEAR ATTACK ON A KEY EXCHANGE PROTOCOL USING EXTENSIONS OF MATRIX SEMIGROUPS
Group-based cryptography semidirect product Galois field
2016/1/5
In this paper we analyze the Kahrobaei-Lam-Shpilrain (KLS) key exchange protocols that use extensions by endomorpisms of matrices over a Galois field proposed in \cite{Kahrobaei-Lam-Shpilrain:2014}. W...
More Efficient Oblivious Transfer Extensions with Security for Malicious Adversaries
oblivious transfer extensions concrete efficiency
2016/1/4
Oblivious transfer (OT) is one of the most fundamental primitives in cryptography and is
widely used in protocols for secure two-party and multi-party computation. As secure computation
becomes more...