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The first structural fact is that regularity is sufficient for left--right symmetry of the strongly \(C4^{\ast}\) condition. It is not necessary for the definition itself and is too strong for classification. The problem is therefore to…

环与代数 · 数学 2026-05-07 Chandrasekhar Gokavarapu

In [2] the author claims to provide a counterexample to a result in a recent paper [1]. In this note, we prove that the details of his example is false and this example is compatible with our result in [1] and so is not a countreexample.

泛函分析 · 数学 2025-07-03 Elmiloud Chil

We critically analyze the results and claims in [Physics Letters A 373 (2009) 901-904]. We show that the strong security leak appeared in the simulations is only an artifact and not caused by "multiple reflections". Since no wave modes…

综合物理 · 物理学 2014-02-07 Laszlo B. Kish , Tamas Horvath

Shor's quantum factoring algorithm and a few other efficient quantum algorithms break many classical crypto-systems. In response, people proposed post-quantum cryptography based on computational problems that are believed hard even for…

量子物理 · 物理学 2014-09-09 Fang Song

Is it possible for a large sequence of measurements or observations, which support a hypothesis, to counterintuitively decrease our confidence? Can unanimous support be too good to be true? The assumption of independence is often made in…

Preventing data exfiltration from computer systems typically depends on perimeter defences, but these are becoming increasingly fragile. Instead we suggest an approach in which each at-risk document is supplemented by many fake versions of…

密码学与安全 · 计算机科学 2018-09-14 David Skillicorn , Xiao Li , Karen Chen

We prove the first hardness results against efficient proof search by quantum algorithms. We show that under Learning with Errors (LWE), the standard lattice-based cryptographic assumption, no quantum algorithm can weakly automate…

计算复杂性 · 计算机科学 2026-03-10 Noel Arteche , Gaia Carenini , Matthew Gray

Should quantum computers become available, they will reduce the effective key length of basic secret-key primitives, such as blockciphers. To address this we will either need to use blockciphers which inherently have longer keys or use…

量子物理 · 物理学 2021-10-26 Joseph Jaeger , Fang Song , Stefano Tessaro

In this work, we exploit a serious security flaw in a code-based signature scheme from a 2019 work by Liu, Yang, Han and Wang. They adapt the McEliece cryptosystem to obtain a new scheme and, on top of this, they design an efficient digital…

密码学与安全 · 计算机科学 2024-02-07 Giuseppe D'Alconzo

Weak coin flipping (WCF) is a fundamental cryptographic primitive for two-party secure computation, where two distrustful parties need to remotely establish a shared random bit whilst having opposite preferred outcomes. It is the strongest…

量子物理 · 物理学 2023-01-03 Atul Singh Arora , Jérémie Roland , Chrysoula Vlachou

Unknown quantum information cannot be perfectly copied (cloned). This statement is the bedrock of quantum technologies and quantum cryptography, including the seminal scheme of Wiesner's quantum money, which was the first…

In this paper we're going to explore the ways in which security proofs can fail, and their broader lessons for security engineering. To mention just one example, Larry Paulson proved the security of SSL/TLS using his theorem prover Isabelle…

密码学与安全 · 计算机科学 2023-05-09 Ross Anderson , Nicholas Boucher

Cody & Waite argument reduction technique works perfectly for reasonably large arguments but as the input grows there are no bit left to approximate the constant with enough accuracy. Under mild assumptions, we show that the result computed…

数学软件 · 计算机科学 2007-08-29 Sylvie Boldo , Marc Daumas , Ren Cang Li

We show that the Cao-Li cryptosystem proposed in \cite{CL1} is not secure. Its private key can be reconstructed from its public key using elementary means such as LU-decomposition and Euclidean algorithm.

密码学与安全 · 计算机科学 2007-05-23 Lek-Heng Lim

Cryptography with quantum states exhibits a number of surprising and counterintuitive features. In a 2002 work, Barnum et al. argue that these features imply that digital signatures for quantum states are impossible (Barnum et al., FOCS…

量子物理 · 物理学 2021-12-22 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

The verification of security protocols is essential, in order to ensure the absence of potential attacks. However, verification results are only valid with respect to the assumptions under which the verification was performed. These…

计算机科学中的逻辑 · 计算机科学 2024-11-12 Nisansala P. Yatapanage , Cliff B. Jones

In 2013, Tsai et al. cryptanalyzed Yeh et al. scheme and shown that Yeh et al., scheme is vulnerable to various cryptographic attacks and proposed an improved scheme. In this poster we will show that Tsai et al., scheme is also vulnerable…

密码学与安全 · 计算机科学 2014-01-24 Vorugunti Chandra Sekhar , Mrudula Sarvabhatla

Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum worlds. But when committing to a string of n bits at once, how far can we stretch the quantum limits? In this paper, we…

量子物理 · 物理学 2008-08-18 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

We investigate the conditions on an integer sequence f(n), n 2 N, with f(1) = 0, such that the sequence q(n), computed recursively via q(n) = q(n - q(n - 1)) + f(n), with q(1) = 1, exists. We prove that f(n + 1) - f(n) in {0,1}, n > 0, is a…

数论 · 数学 2023-11-27 Jonathan H. B. Deane , Guido Gentile

Quantum computing is emerging as a significant threat to information protected by widely used cryptographic systems. Cryptographic methods, once deemed secure for decades, are now at risk of being compromised, posing a massive threat to the…