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In this paper, we study a model of communication under adversarial noise. In this model, the adversary makes online decisions on whether to corrupt a transmitted bit based on only the value of that bit. Like the usual binary symmetric…

Information Theory · Computer Science 2014-01-21 Arya Mazumdar

We propose randomized frameproof codes for content protection, which arise by studying a variation of the Boneh-Shaw fingerprinting problem. In the modified system, whenever a user tries to access his fingerprinted copy, the fingerprint is…

Information Theory · Computer Science 2008-02-26 N. Prasanth Anthapadmanabhan , Alexander Barg

Multimedia fingerprinting is a technique to protect the copyrighted contents against being illegally redistributed under various collusion attack models. Averaging attack is the most fair choice for each colluder to avoid detection, and…

Information Theory · Computer Science 2025-07-28 Jing Jiang , Cailin Wen , Minquan Cheng

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

The problem of mismatched decoding for discrete memoryless channels is addressed. A mismatched cognitive multiple-access channel is introduced, and an inner bound on its capacity region is derived using two alternative encoding methods:…

Information Theory · Computer Science 2013-05-03 Anelia Somekh-Baruch

While the channel capacity reflects a theoretical upper bound on the achievable information transmission rate in the limit of infinitely many bits, it does not characterise the information transfer of a given encoding routine with finitely…

Neurons and Cognition · Quantitative Biology 2017-04-05 Sebastian Weichwald , Tatiana Fomina , Bernhard Schölkopf , Moritz Grosse-Wentrup

Frameproof codes are used to fingerprint digital data. It can prevent copyrighted materials from unauthorized use. In this paper, we study upper and lower bounds for $w$-frameproof codes of length $N$ over an alphabet of size $q$. The upper…

Information Theory · Computer Science 2014-11-24 Chong Shangguan , Xin Wang , Gennian Ge , Ying Miao

This paper considers the achievability and converse bounds on the maximal channel coding rate at a given blocklength and error probability over AWGN channels. The problem stems from covert communication with Gaussian codewords. By…

Information Theory · Computer Science 2021-01-01 Xinchun Yu , Shuangqin Wei , Yuan Luo

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

We consider the maximum coding rate achievable by uniformly-random codes for the deletion channel. We prove an upper bound that's within 0.1 of the best known lower bounds for all values of the deletion probability $d,$ and much closer for…

Information Theory · Computer Science 2022-10-17 Berivan Isik , Francisco Pernice , Tsachy Weissman

This paper proposes a novel, non-linear collusion attack on digital fingerprinting systems. The attack is proposed for fingerprinting systems with finite alphabet but can be extended to continuous alphabet. We analyze the error probability…

Cryptography and Security · Computer Science 2016-04-28 Jalal Etesami , Negar Kiyavash

We provide tight upper and lower bounds on the noise resilience of interactive communication over noisy channels with feedback. In this setting, we show that the maximal fraction of noise that any robust protocol can resist is 1/3.…

Data Structures and Algorithms · Computer Science 2015-01-06 Klim Efremenko , Ran Gelles , Bernhard Haeupler

Codes defined on graphs and their properties have been subjects of intense recent research. On the practical side, constructions for capacity-approaching codes are graphical. On the theoretical side, codes on graphs provide several…

Information Theory · Computer Science 2009-05-15 Srimathy Srinivasan , Andrew Thangaraj

The rate of a network code is the ratio of the block size of the network's messages to that of its edge codewords. We compare the linear capacities and achievable rate regions of networks using finite field alphabets to the more general…

Information Theory · Computer Science 2018-01-31 Joseph Connelly , Kenneth Zeger

Within the simultaneous message passing model of communication complexity, under a public-coin assumption, we derive the minimum achievable worst-case error probability of a classical fingerprinting protocol with one-sided error. We then…

Quantum Physics · Physics 2007-05-23 Rolf T. Horn , A. J. Scott , Jonathan Walgate , Richard Cleve , A. I. Lvovsky , Barry C. Sanders

We consider communication over channels whose statistics are not known in full, but can be parameterized as a finite family of memoryless channels. A typical approach to address channel uncertainty is to design codes for the worst channel…

Information Theory · Computer Science 2023-06-14 Michael Langberg , Oron Sabag

A combinatorial framework for adversarial network coding is presented. Channels are described by specifying the possible actions that one or more (possibly coordinated) adversaries may take. Upper bounds on three notions of capacity (the…

Information Theory · Computer Science 2017-06-20 Alberto Ravagnani , Frank R. Kschischang

This paper investigates the maximal secret communication rate over a wiretap channel subject to reliability and secrecy constraints at a given blocklength. New achievability and converse bounds are derived, which are uniformly tighter than…

Information Theory · Computer Science 2017-06-14 Wei Yang , Rafael F. Schaefer , H. Vincent Poor

We consider the problem of error control in a coded, multicast network, focusing on the scenario where the errors can occur only on a proper subset of the network edges. We model this problem via an adversarial noise, presenting a formal…

Information Theory · Computer Science 2022-05-31 Allison Beemer , Altan Berdan Kilic , Alberto Ravagnani

Biological and machine pattern recognition systems face a common challenge: Given sensory data about an unknown object, classify the object by comparing the sensory data with a library of internal representations stored in memory. In many…

Information Theory · Computer Science 2007-07-13 M. Brandon Westover , Joseph A. O'Sullivan