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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some Exact Formulas of the KPZ Fixed Point and Directed Landscape
KPZ不动点 定向景观 精确公式
2023/4/18
In the past twenty years, there have been huge developments in the study of the Kardar-Parisi-Zhang (KPZ) universality class, which is a broad class of physical and probabilistic models including one-...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonsplitting of the Hilbert Exact Sequence and the Principal Chebotarev Density Theorem
希尔伯特精确序列 主切 博塔列夫密度定理 非分裂
2023/4/18
Let $K/k$ be a finite Galois extension of number fields, and let $H_K$ be the Hilbert class field of $K$. We find a way to verify the nonsplitting of the short exact sequence
New Paper Published in Nature Communications titled, “Exact exchange-correlation potentials from ground-state electron densities”
Published titled Exact potentials electron densities
2019/10/10
The quest for accurate exchange-correlation functionals has long remained a grand challenge in density functional theory (DFT), as it describes the many-electron quantum mechanical behavior through a ...
Algebraic Techniques for Short(er) Exact Lattice-Based Zero-Knowledge Proofs
Lattices Zero-Knowledge Proofs Commitments
2019/6/4
A key component of many lattice-based protocols is a zero-knowledge proof of knowledge of a vector s⃗ s→ with small coefficients satisfying As⃗ =u⃗ modqAs→=u→modq. While there exist ...
Cube attack is an important cryptanalytic technique against symmetric cryptosystems, especially for stream ciphers. The key step in cube attack is recovering superpoly. However, when cube size is larg...
Exact maximum expected differential and linear probability for 2-round Kuznyechik
Kuznyechik LSX MDS codes
2018/11/12
his paper presents the complete description of the best differentials and linear hulls in 2-round Kuznyechik. We proved that 2-round MEDP=2−86.66...MEDP=2−86.66..., MELP=2−76.739...M...
We settle the exact round complexity of three-party computation (3PC) in honest-majority setting, for a range of security notions such as selective abort, unanimous abort, fairness and guaranteed outp...
First Exact Model for Diffusion in Magnesium Alloys at Illinois
First Exact Model Diffusion Magnesium Alloys Illinois
2017/3/30
The movement of atoms in solids controls everything.“Everything” includes the materials our world functions with — batteries, corrosion, the processing of structural materials like steels, advanced st...
Traditionally, modes of Message Authentication Codes(MAC) such as Cipher Block Chaining (CBC) are instantiated using block ciphers or keyed Pseudo Random Permutations(PRP). However, one can also use d...
PMAC is a simple and parallel block-cipher mode of operation, which was introduced by Black and Rogaway at Eurocrypt 2002. If instantiated with a (pseudo)random permutation over n-bit strings, PMAC co...
On the Exact Round Complexity of Self-Composable Two-Party Computation
secure two-party computation concurrent security exact round complexity
2017/2/20
In contrast, round complexity of secure computation in the concurrent setting, where several protocols may run simultaneously, is poorly understood. Since standard polynomial time simulation is imposs...
Exact Security Analysis of Hash-then-Mask Type Probabilistic MAC Constructions
MAC secret-key cryptography
2016/12/8
Probabilistic MAC (message authentication code) is an alternative choice for a stateful MAC where maintaining internal state may be difficult or unsafe. Usually tag of a probabilistic MAC consists of ...
Some historical aspects concerning the rise of the first exact measurements of the anomalous magnetic moment of the muon
magnetic moment muon QED
2016/6/13
In this paper, we wish to outline the main historical moments which have led to the first exact measurements of the anomalous magnetic moment of the muon.
Key-alternating Ciphers and Key-length Extension: Exact Bounds and Multi-user Security
Symmetric cryptography block ciphers provable security
2016/6/6
This paper revisits the concrete security of key-alternating ciphers and key-length extension
schemes, with respect to tightness and multi-user security. The best existing bounds on the concrete
sec...
Exact Error Bound of Cox-Rower Architecture for RNS Arithmetic
cryptography implementation Residue Number System
2016/3/11
Residue Number System (RNS) is a method for representing an integer as an n-tuple of its residues with respect to a given base. Since RNS has inherent parallelism, it is actively researched to impleme...