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Algebraic Manipulation Detection (AMD) Codes detect adversarial noise that is added to a coded message and stored in a storage that is opaque to the adversary. We study AMD codes when the storage can leak up to \rho\log|G| bits of…

Information Theory · Computer Science 2016-07-08 Fuchun Lin , Reihaneh Safavi-Naini , Pengwei Wang

This paper provides a mathematical analysis of optimal algebraic manipulation detection (AMD) codes. We prove several lower bounds on the success probability of an adversary and we then give some combinatorial characterizations of AMD codes…

Combinatorics · Mathematics 2015-06-10 Maura B. Paterson , Douglas R. Stinson

In this paper, we study the relationship between algebraic manipulation detection (AMD) codes and highly nonlinear functions. As applications, on one hand, a generic construction for systematic AMD codes is introduced based on highly…

Combinatorics · Mathematics 2020-02-11 Minfeng Shao , Ying Miao

We present a lower bound for Pauli Manipulation Detection (PMD) codes, a class of quantum codes that detect every Pauli error with high probability. Our lower bound reveals the first trade-off between the error parameter and the coding…

Quantum Physics · Physics 2026-04-21 Keiya Ichikawa , Kenji Yasunaga

We introduce and explicitly construct a quantum code we coin a "Pauli Manipulation Detection" code (or PMD), which detects every Pauli error with high probability. We apply them to construct the first near-optimal codes for two tasks in…

Quantum Physics · Physics 2024-06-13 Thiago Bergamaschi

Quantum Key Distribution (QKD) allows secure communication without relying on computational assumptions, but can currently only be deployed over relatively short distances due to hardware constraints. To extend QKD over long distances,…

Quantum Physics · Physics 2026-02-03 Ailsa Robertson , Christian Schaffner , Sebastian R. Verschoor

We introduce randomized Limited View (LV) adversary codes that provide protection against an adversary that uses their partial view of the communication to construct an adversarial error vector to be added to the channel. For a codeword of…

Information Theory · Computer Science 2013-03-13 Reihaneh Safavi-Naini , Pengwei Wang

We study the information leakage to a guessing adversary in index coding with a general message distribution. Under both vanishing-error and zero-error decoding assumptions, we develop lower and upper bounds on the optimal leakage rate,…

Information Theory · Computer Science 2022-05-24 Yucheng Liu , Lawrence Ong , Phee Lep Yeoh , Parastoo Sadeghi , Joerg Kliewer , Sarah Johnson

Quantum codes excel at correcting local noise but fail to correct leakage faults that excite qubits to states outside the computational space. Aliferis and Terhal have shown that an accuracy threshold exists for leakage faults using gadgets…

Quantum Physics · Physics 2015-09-29 Martin Suchara , Andrew W. Cross , Jay M. Gambetta

Information leakage to a guessing adversary in index coding is studied, where some messages in the system are sensitive and others are not. The non-sensitive messages can be used by the server like secret keys to mitigate leakage of the…

Information Theory · Computer Science 2022-05-24 Yucheng Liu , Lawrence Ong , Phee Lep Yeoh , Parastoo Sadeghi , Joerg Kliewer , Sarah Johnson

Analog Lagrange Coded Computing (ALCC) is a recently proposed coded computing paradigm wherein certain computations over analog datasets can be efficiently performed using distributed worker nodes through floating point implementation.…

Information Theory · Computer Science 2024-05-14 Rimpi Borah , J. Harshan

We consider the problem of communicating information over a network secretly and reliably in the presence of a hidden adversary who can eavesdrop and inject malicious errors. We provide polynomial-time, rate-optimal distributed network…

Networking and Internet Architecture · Computer Science 2010-04-27 Hongyi Yao , Danilo Silva , Sidharth Jaggi , Michael Langberg

Secure codes are widely-studied combinatorial structures which were introduced for traitor tracing in broadcast encryption. To determine the maximum size of such structures is the main research objective. In this paper, we investigate the…

Information Theory · Computer Science 2021-08-24 Bingchen Qian , Xin Wang , Gennian Ge

AI-assisted code review is widely used to detect vulnerabilities before production release. Prior work shows that adversarial prompt manipulation can degrade large language model (LLM) performance in code generation. We test whether similar…

Cryptography and Security · Computer Science 2026-02-20 Scott Thornton

A common countermeasure against side-channel attacks on secret key cryptographic implementations is $d$th-order masking, which splits each sensitive variable into $d+1$ random shares. In this paper, maximal leakage bounds on the probability…

Information Theory · Computer Science 2023-05-11 Julien Béguinot , Yi Liu , Olivier Rioul , Wei Cheng , Sylvain Guilley

Non-malleable codes are randomized codes that protect coded messages against modification by functions in a tampering function class. These codes are motivated by providing tamper resilience in applications where a cryptographic secret is…

Cryptography and Security · Computer Science 2017-08-21 Fuchun Lin , Reihaneh Safavi-Naini , Mahdi Cheraghchi , Huaxiong Wang

This paper investigates fundamental properties of nonlinear binary codes by looking at the codebook matrix not row-wise (codewords), but column-wise. The family of weak flip codes is presented and shown to contain many beautiful properties.…

Information Theory · Computer Science 2017-11-10 Hsuan-Yin Lin , Stefan M. Moser , Po-Ning Chen

Measuring the information leakage is critical for evaluating the practical security of cryptographic devices against side-channel analysis. Information-theoretic measures can be used (along with Fano's inequality) to derive upper bounds on…

Information Theory · Computer Science 2022-05-17 Wei Cheng , Yi Liu , Sylvain Guilley , Olivier Rioul

Network coding provides the advantage of maximizing the usage of network resources, and has great application prospects in future network communications. However, the properties of network coding also make the pollution attack more serious.…

Cryptography and Security · Computer Science 2013-03-06 Jun Zhang , Xinran Li , Fang-Wei Fu

Leakage is a particularly damaging error that occurs when a qubit state falls out of its two-level computational subspace. Compared to independent depolarizing noise, leaked qubits may produce many more configurations of harmful correlated…

Quantum Physics · Physics 2019-09-04 Natalie C. Brown , Michael Newman , Kenneth R. Brown
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