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In this paper, a novel decoding algorithm for low-density parity-check (LDPC) codes based on convex optimization is presented. The decoding algorithm, called interior point decoding, is designed for linear vector channels. The linear vector…

Information Theory · Computer Science 2009-11-13 Tadashi Wadayama

Defending pre-trained vision-language models (VLMs), such as CLIP, against adversarial attacks is crucial, as these models are widely used in diverse zero-shot tasks, including image classification. However, existing adversarial training…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Futa Waseda , Saku Sugawara , Isao Echizen

Capacity formulas and random-coding exponents are derived for a generalized family of Gel'fand-Pinsker coding problems. These exponents yield asymptotic upper bounds on the achievable log probability of error. In our model, information is…

Information Theory · Computer Science 2007-07-13 Pierre Moulin , Ying Wang

Lattice codes with optimal decoding coefficient are capacity-achieving when dimension $N \rightarrow \infty$. In communications systems, finite dimensional lattice codes are considered, where the optimal decoding coefficients may still fail…

Information Theory · Computer Science 2025-01-09 Jiajie Xue , Brian M. Kurkoski

We apply linear network coding (LNC) to broadcast a block of data packets from one sender to a set of receivers via lossy wireless channels, assuming each receiver already possesses a subset of these packets and wants the rest. We aim to…

Information Theory · Computer Science 2018-02-09 Mingchao Yu , Alex Sprintson , Parastoo Sadeghi

In adversarial settings, where attackers can deliberately and strategically corrupt quantum data, standard quantum error correction reaches its limits. It can only correct up to half the code distance and must output a unique answer.…

Quantum Physics · Physics 2025-09-12 Rahul Arvind , Nikhil Bansal , Dax Enshan Koh , Tobias Haug , Kishor Bharti

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 investigates the problem of single-source multicasting over a communication network in the presence of restricted adversaries. When the adversary is constrained to operate only on a prescribed subset of edges, classical cut-set…

Information Theory · Computer Science 2026-03-10 Christopher Hojny , Altan B. Kılıç , Sascha Kurz , Alberto Ravagnani

Locally decodable channel codes form a special class of error-correcting codes with the property that the decoder is able to reconstruct any bit of the input message from querying only a few bits of a noisy codeword. It is well known that…

Information Theory · Computer Science 2013-08-28 Ali Makhdoumi , Shao-Lun Huang , Muriel Medard , Yury Polyanskiy

Semantic segmentation is one of the most fundamental problems in computer vision with significant impact on a wide variety of applications. Adversarial learning is shown to be an effective approach for improving semantic segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-01-22 Hadi Jamali-Rad , Attila Szabo

Neural network decoders are becoming essential for achieving fault-tolerant quantum computations. However, their internal mechanisms are poorly understood, hindering our ability to ensure their reliability and security against adversarial…

Quantum Physics · Physics 2025-04-29 Jerome Lenssen , Alexandru Paler

Mart{\'\i}nez-Pe{\~n}as and Kschischang (IEEE Trans.\ Inf.\ Theory, 2019) proposed lifted linearized Reed--Solomon codes as suitable codes for error control in multishot network coding. We show how to construct and decode \ac{LILRS} codes.…

Information Theory · Computer Science 2023-07-13 Hannes Bartz , Sven Puchinger

Linear network coding transmits information in terms of a basis of a vector space and the information is received as a basis of a possible altered vectorspace. Ralf Koetter and Frank R. Kschischang in Coding for errors and erasures in…

Information Theory · Computer Science 2013-05-23 Johan P. Hansen

When two or more users in a wireless network transmit simultaneously, their electromagnetic signals are linearly superimposed on the channel. As a result, a receiver that is interested in one of these signals sees the others as unwanted…

Information Theory · Computer Science 2011-03-01 Bobak Nazer , Michael Gastpar

We consider an echo-assisted communication model wherein block-coded messages, when transmitted across several frames, reach the destination as multiple noisy copies. We address adversarial attacks on such models wherein a subset of the…

Information Theory · Computer Science 2019-04-11 Mohit Goyal , J. Harshan

Large Vision-Language Models (LVLMs) have demonstrated remarkable capabilities in multimodal understanding and generation, yet their vulnerability to adversarial attacks raises significant robustness concerns. While existing effective…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Hefei Mei , Zirui Wang , Shen You , Minjing Dong , Chang Xu

The variable-length Reverse Multi-Delimiter (RMD) codes are known to represent sequences of unbounded and unordered integers. When applied to data compression, they combine a good compression ratio with fast decoding. In this paper, we…

Information Theory · Computer Science 2023-02-14 Igor O. Zavadskyi

We construct deletion error-correcting codes in the oblivious model, where errors are adversarial but oblivious to the encoder's randomness. Oblivious errors bridge the gap between the adversarial and random error models, and are motivated…

Information Theory · Computer Science 2025-06-24 Roni Con , Ray Li

Random linear network coding (RLNC) is asymptotically throughput optimal in the wireless broadcast of a block of packets from a sender to a set of receivers, but suffers from heavy computational load and packet decoding delay. To mitigate…

Information Theory · Computer Science 2015-06-04 Mingchao Yu , Parastoo Sadeghi , Alex Sprintson

We initiate a study of locally decodable codes with randomized encoding. Standard locally decodable codes are error correcting codes with a deterministic encoding function and a randomized decoding function, such that any desired message…

Information Theory · Computer Science 2020-01-14 Kuan Cheng , Xin Li , Yu Zheng