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We consider coding schemes for computationally bounded channels, which can introduce an arbitrary set of errors as long as (a) the fraction of errors is bounded with high probability by a parameter $p$ and (b) the process which adds the…

信息论 · 计算机科学 2013-03-01 Venkatesan Guruswami , Adam Smith

The most common decision criteria for decoding are maximum likelihood decoding and nearest neighbor decoding. It is well-known that maximum likelihood decoding coincides with nearest neighbor decoding with respect to the Hamming metric on…

信息论 · 计算机科学 2015-06-12 Marcelo Firer , Judy L. Walker

We consider a new formulation of a class of synchronization error channels and derive analytical bounds and numerical estimates for the capacity of these channels. For the binary channel with only deletions, we obtain an expression for the…

信息论 · 计算机科学 2016-11-17 Aravind R. Iyengar , Paul H. Siegel , Jack K. Wolf

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…

信息论 · 计算机科学 2013-08-28 Ali Makhdoumi , Shao-Lun Huang , Muriel Medard , Yury Polyanskiy

The communication scenario under consideration in this paper corresponds to a multiuser channel with side information and consists of a broadcast channel with two legitimate receivers and an eavesdropper. Mainly, the results obtained are as…

信息论 · 计算机科学 2012-10-24 Maël Le Treust , Abdellatif Zaidi , Samson Lasaulce

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

信息论 · 计算机科学 2016-11-15 Zheng Wang , Jie Luo

In this paper, we study the problem of relaying a single bit over a tandem of binary-input channels, with the goal of attaining the highest possible error exponent in the exponentially decaying error probability. Our previous work gave an…

信息论 · 计算机科学 2024-06-07 Yan Hao Ling , Jonathan Scarlett

We introduce a new analysis technique to derive a single-letter upper bound on the mismatch capacity of a stationary, single-user, memoryless channel with a decoding metric $q$. Our bound is obtained by considering a multicast transmission…

信息论 · 计算机科学 2021-03-29 Anelia Somekh-Baruch

We develop several lower bounds on the capacity of binary input symmetric output channels with synchronization errors which also suffer from other types of impairments such as substitutions, erasures, additive white Gaussian noise (AWGN)…

信息论 · 计算机科学 2012-03-30 Mojtaba Rahmati , Tolga M. Duman

In this paper, achievable rates of imperfectly-known fading relay channels are studied. It is assumed that communication starts with the network training phase in which the receivers estimate the fading coefficients of their respective…

信息论 · 计算机科学 2007-07-13 Junwei Zhang , Mustafa Cenk Gursoy

This paper considers error probabilities of random codes for memoryless channels in the fixed-rate regime. Random coding is a fundamental scheme to achieve the channel capacity and many studies have been conducted for the asymptotics of the…

信息论 · 计算机科学 2017-07-17 Junya Honda

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

An additive noise channel is considered, in which the distribution of the noise is nonparametric and unknown. The problem of learning encoders and decoders based on noise samples is considered. For uncoded communication systems, the problem…

信息论 · 计算机科学 2021-11-17 Nir Weinberger

Degradable quantum channels are an important class of completely positive trace-preserving maps. Among other properties, they offer a single-letter formula for the quantum and the private classical capacity and are characterized by the fact…

量子物理 · 物理学 2017-11-23 David Sutter , Volkher B. Scholz , Andreas Winter , Renato Renner

This paper considers the problem of covert communication with mismatched decoding, in which a sender wishes to reliably communicate with a receiver whose decoder is fixed and possibly sub-optimal, and simultaneously to ensure that the…

信息论 · 计算机科学 2021-11-11 Qiaosheng Zhang , Vincent Y. F. Tan

We study the information rates of non-coherent, stationary, Gaussian, multiple-input multiple-output (MIMO) flat-fading channels that are achievable with nearest neighbor decoding and pilot-aided channel estimation. In particular, we…

信息论 · 计算机科学 2014-04-09 A. Taufiq Asyhari , Tobias Koch , Albert Guillén i Fàbregas

In a premier paper on the information-theoretic analysis of a two-user cognitive interference channel(CIC), Devroye et al. presented an achievable rate region for the two-user discrete memoryless CIC. The coding scheme proposed by Devroye…

信息论 · 计算机科学 2015-09-22 Mostafa Monemizadeh

We study the two-user broadcast channel with degraded message sets and derive second-order achievability rate regions. Specifically, the channel noises are not necessarily Gaussian and we use spherical codebooks for both users. The weak…

信息论 · 计算机科学 2024-10-24 Zhuangfei Wu , Lin Bai , Jinpeng Xu , Lin Zhou , Mehul Motani

We study relationships between worst-case and random-noise properties of error correcting codes. More concretely, we consider connections between minimum distance, list decoding radius, and block error probability on noisy channels. A…

信息论 · 计算机科学 2026-04-06 Donald Kougang-Yombi , Jan Hązła

We propose two types of universal codes that are suited to two asymptotic regimes when the output alphabet is possibly continuous. The first class has the property that the error probability decays exponentially fast and we identify an…

信息论 · 计算机科学 2024-09-10 Masahito Hayashi