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The problem of finding quantum error-correcting codes is transformed into the problem of finding additive codes over the field GF(4) which are self-orthogonal with respect to a certain trace inner product. Many new codes and new bounds are…

量子物理 · 物理学 2008-02-03 A. R. Calderbank , E. M Rains , P. W. Shor , N. J. A. Sloane

In this paper, we study the information-theoretic limits of community detection in the symmetric two-community stochastic block model, with intra-community and inter-community edge probabilities $\frac{a}{n}$ and $\frac{b}{n}$ respectively.…

信息论 · 计算机科学 2016-04-05 Jonathan Scarlett , Volkan Cevher

Hyperdimensional Computing (HDC) is facing infringement issues due to straightforward computations. This work, for the first time, raises a critical vulnerability of HDC, an attacker can reverse engineer the entire model, only requiring the…

密码学与安全 · 计算机科学 2022-03-21 Shijin Duan , Shaolei Ren , Xiaolin Xu

We investigate the performance of a quantum error-correcting code when pushed beyond its intended capacity to protect information against errors, presenting formulae for the probability of failure when the errors affect more qudits than…

量子物理 · 物理学 2007-05-23 A. J. Scott

While storing documents on the cloud can be attractive, the question remains whether cloud providers can be trusted with storing private documents. Even if trusted, data breaches are ubiquitous. To prevent information leakage one can store…

密码学与安全 · 计算机科学 2023-07-04 Marco Dijkslag , Marc Damie , Florian Hahn , Andreas Peter

We derive upper bounds on the rate of transmission of classical information over quantum channels by block codes with a given blocklength and error probability, for both entanglement-assisted and unassisted codes, in terms of a unifying…

量子物理 · 物理学 2016-01-01 William Matthews , Stephanie Wehner

Message digest algorithms are one of the underlying building blocks of blockchain platforms such as Ethereum. This paper analyses situations in which the message digest collision resistance property can be exploited by attackers. Two…

密码学与安全 · 计算机科学 2018-06-18 Peter Robinson

We examine regular and irregular repeat-accumulate (RA) codes with repetition degrees which are all even. For these codes and with a particular choice of an interleaver, we give an upper bound on the decoding error probability of a…

信息论 · 计算机科学 2010-02-22 Idan Goldenberg , David Burshtein

We obtain exact expressions for the asymptotic behaviour of the average probability of the block decoding error for ensembles of regular low density parity check error correcting codes, by employing diagrammatic techniques. Furthermore, we…

统计力学 · 物理学 2007-05-23 J. van Mourik , Y. Kabashima

The number of people accessing online services is increasing day by day, and with new users, comes a greater need for effective and responsive cyber-security. Our goal in this study was to find out if there are common patterns within the…

密码学与安全 · 计算机科学 2024-05-15 Gábor Antal , Balázs Mosolygó , Norbert Vándor , Péter Hegedüs

We consider recursive decoding techniques for RM codes, their subcodes, and newly designed codes. For moderate lengths up to 512, we obtain near-optimum decoding with feasible complexity.

信息论 · 计算机科学 2017-03-17 Ilya Dumer , Kirill Shabunov

In the trace reconstruction problem our goal is to learn an unknown string $x\in \{0,1\}^n$ given independent traces of $x$. A trace is obtained by independently deleting each bit of $x$ with some probability $\delta$ and concatenating the…

数据结构与算法 · 计算机科学 2024-12-02 Anders Aamand , Allen Liu , Shyam Narayanan

Federated learning allows distributed users to collaboratively train a model while keeping each user's data private. Recently, a growing body of work has demonstrated that an eavesdropping attacker can effectively recover image data from…

计算与语言 · 计算机科学 2022-10-19 Samyak Gupta , Yangsibo Huang , Zexuan Zhong , Tianyu Gao , Kai Li , Danqi Chen

In the trace reconstruction problem, one seeks to reconstruct a binary string $s$ from a collection of traces, each of which is obtained by passing $s$ through a deletion channel. It is known that $\exp(\tilde O(n^{1/5}))$ traces suffice to…

信息论 · 计算机科学 2022-10-21 Kayvon Mazooji , Ilan Shomorony

Fault tolerant quantum error correction (QEC) networks are studied by a combination of numerical and approximate analytical treatments. The probability of failure of the recovery operation is calculated for a variety of CSS codes, including…

量子物理 · 物理学 2009-11-07 Andrew M. Steane

Cryptanalysis increases the level of confidence in cryptographic algorithms. We analyze the security of a symmetric cryptographic algorithm - quantum permutation pad (QPP) [8]. We found the instances of ciphertext the same as plaintext even…

密码学与安全 · 计算机科学 2023-04-24 Avval Amil , Shashank Gupta

The number of random bits required to approximate a target distribution in terms of un-normalized informational divergence is considered. It is shown that for a variable-to-variable length encoder, this number is lower bounded by the…

信息论 · 计算机科学 2013-08-02 Georg Böcherer , Rana Ali Amjad

We develop upper bounds on code size for an independent and identically distributed deletion and insertion channels for a given code length and target frame error probability. The bounds are obtained as a variation of a general converse…

信息论 · 计算机科学 2026-04-14 Ruslan Morozov , Tolga Mete Duman

We study the problem of encrypting and authenticating quantum data in the presence of adversaries making adaptive chosen plaintext and chosen ciphertext queries. Classically, security games use string copying and comparison to detect…

量子物理 · 物理学 2020-06-17 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

The coded trace reconstruction problem asks to construct a code $C\subset \{0,1\}^n$ such that any $x\in C$ is recoverable from independent outputs ("traces") of $x$ from a binary deletion channel (BDC). We present binary codes of rate…

信息论 · 计算机科学 2020-09-15 Joshua Brakensiek , Ray Li , Bruce Spang