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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

In this paper the cognitive interference channel with a common message, a variation of the classical cognitive interference channel in which the cognitive message is decoded at both receivers, is studied. For this channel model new outer…

Information Theory · Computer Science 2012-08-21 Stefano Rini , Carolin Huppert

This paper derives upper and lower bounds on the secrecy capacity-memory tradeoff of a wiretap erasure broadcast channel (BC) with Kw weak receivers and Ks strong receivers, where weak receivers, respectively strong receivers, have same…

Information Theory · Computer Science 2018-01-03 Sarah Kamel , Mireille Sarkiss , Michèle Wigger , Ghaya Rekaya-Ben Othman

Optimization methods aimed at estimating the capacities of a general Gaussian channel are developed. Specifically evaluation of classical capacity as maximum of the Holevo information is pursued over all possible Gaussian encodings for the…

Quantum Physics · Physics 2012-09-12 Oleg V. Pilyavets , Cosmo Lupo , Stefano Mancini

A class of burst noise-erasure channels which incorporate both errors and erasures during transmission is studied. The channel, whose output is explicitly expressed in terms of its input and a stationary ergodic noise-erasure process, is…

Information Theory · Computer Science 2017-05-05 Lin Song , Fady Alajaji , Tamás Linder

Three-Receiver broadcast channels (BC) are of interest due to their information-theoretic differences with two-receiver one. In this paper, we derive achievable rate regions for two classes of 3-receiver BC with side information (SI), i.e.…

Information Theory · Computer Science 2016-11-15 Saeed Hajizadeh , Ghosheh Abed Hodtani

The fundamental limits of channels with mismatched decoding are addressed. A general formula is established for the mismatch capacity of a general channel, defined as a sequence of conditional distributions with a general decoding metrics…

Information Theory · Computer Science 2013-10-01 Anelia Somekh-Baruch

The two-receiver broadcast packet erasure channel with feedback and memory is studied. Memory is modeled using a finite-state Markov chain representing a channel state. Outer and inner bounds on the capacity region are derived when the…

Information Theory · Computer Science 2014-11-11 Michael Heindlmaier , Navid Reyhanian , Shirin Saeedi Bidokhti

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 deals with the multiplicative finite-field matrix channel, a discrete memoryless channel whose input and output are matrices (over a finite field) related by a multiplicative transfer matrix. The model considered here assumes…

Information Theory · Computer Science 2013-04-19 Roberto W. Nóbrega , Danilo Silva , Bartolomeu F. Uchôa-Filho

This work investigates the general two-user Compound Broadcast Channel (BC) where an encoder wishes to transmit common and private messages to two receivers while being oblivious to two possible channel realizations controlling the…

Information Theory · Computer Science 2014-10-21 Meryem Benammar , Pablo Piantanida , Shlomo Shamai

In this letter, we analyse the properties of a maximum likelihood channel estimator based on the syndrome of a linear code. For the two examples of a binary symmetric channel and a binary input additive white Gaussian noise channel, we…

Information Theory · Computer Science 2013-12-12 Gottfried Lechner , Christoph Pacher

This paper focuses on the 1-to-K broadcast packet erasure channel (PEC), which is a generalization of the broadcast binary erasure channel from the binary symbol to that of arbitrary finite fields GF(q) with sufficiently large q. We…

Information Theory · Computer Science 2016-11-15 Chih-Chun Wang

This paper concerns itself with the question of list decoding for general adversarial channels, e.g., bit-flip ($\textsf{XOR}$) channels, erasure channels, $\textsf{AND}$ ($Z$-) channels, $\textsf{OR}$ channels, real adder channels, noisy…

Information Theory · Computer Science 2019-09-11 Yihan Zhang , Amitalok J. Budkuley , Sidharth Jaggi

We describe some pseudorandom properties of binary linear codes achieving capacity on the binary erasure channel under bit-MAP decoding (as shown in Kudekar et al this includes doubly transitive codes and, in particular, Reed-Muller codes).…

Information Theory · Computer Science 2022-06-13 Alex Samorodnitsky

In this paper, we investigate problems of communication over physically degraded, state-dependent broadcast channels (BCs) with cooperating decoders. Two different setups are considered and their capacity regions are characterized. First,…

Information Theory · Computer Science 2014-05-21 Lior Dikstein , Haim H. Permuter , Yossef Steinberg

The broadcast channel (BC) with one common and two private messages with leakage constraints is studied, where leakage rate refers to the normalized mutual information between a message and a channel symbol string. Each private message is…

Information Theory · Computer Science 2017-05-30 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter

We analyze the quantum binary adder channel, i.e. the quantum generalization of the classical, and well-studied, binary adder channel: in this model qubits rather than classical bits are transmitted. This of course is as special case of the…

Quantum Physics · Physics 2007-05-23 Gleb V. Klimovitch , Andreas Winter

In this paper, we consider the problem of sequential transmission over the binary symmetric channel (BSC) with full, noiseless feedback. Naghshvar et al. proposed a one-phase encoding scheme, for which we refer to as the small-enough…

Information Theory · Computer Science 2020-05-29 Hengjie Yang , Richard D. Wesel

Typical performance of low-density parity-check (LDPC) codes over a general binary-input output-symmetric memoryless channel is investigated using methods of statistical mechanics. Theoretical framework for dealing with general symmetric…

Disordered Systems and Neural Networks · Physics 2009-11-07 Toshiyuki Tanaka , David Saad
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