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In the setting of error-correcting codes with feedback, Alice wishes to communicate a $k$-bit message $x$ to Bob by sending a sequence of bits over a channel while noiselessly receiving feedback from Bob. It has been long known (Berlekamp,…

信息论 · 计算机科学 2022-12-14 Meghal Gupta , Venkatesan Guruswami , Rachel Yun Zhang

The growing need for reliable communication over untrusted networks has caused a renewed interest in adversarial channel models, which often behave much differently than traditional stochastic channel models. Of particular practical use is…

信息论 · 计算机科学 2021-04-16 Vinayak Suresh , Eric Ruzomberka , David J. Love

In this paper, the problem of correction of a single error in $q$-ary symmetric channel with noiseless feedback is considered. We propose an algorithm to construct codes with feedback inductively. For all prime power $q$ we prove that two…

信息论 · 计算机科学 2023-05-12 Ilya Vorobyev , Vladimir Lebedev , Alexey Lebedev

In digital systems such as fiber optical communications, the ratio between probability of errors of type $1\to 0$ and $0 \to 1$ can be large. Practically, one can assume that only one type of error can occur. These errors arecalled…

信息论 · 计算机科学 2020-04-29 Christian Deppe , Vladimir Lebedev , Georg Maringer

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…

信息论 · 计算机科学 2014-01-21 Arya Mazumdar

We obtain strict upper bounds on the bit transmission rate for communication of Classical bit codewords over Quantum channels. Albeit previous arguments in arXiv: 1804.01797 which have demonstrated that lower bounds can be shown to hold for…

量子物理 · 物理学 2025-07-08 Pete Rigas

We initiate the study of zero-error communication via quantum channels when the receiver and sender have at their disposal a noiseless feedback channel of unlimited quantum capacity, generalizing Shannon's zero-error communication theory…

量子物理 · 物理学 2016-08-18 Runyao Duan , Simone Severini , Andreas Winter

A transmitter Alice may wish to reliably transmit a message to a receiver Bob over a binary symmetric channel (BSC), while simultaneously ensuring that her transmission is deniable from an eavesdropper Willie. That is, if Willie listening…

信息论 · 计算机科学 2016-07-12 Pak Hou Che , Mayank Bakshi , Sidharth Jaggi

This paper presents a systematic study of adversarial hypothesis testing for both quantum-quantum (QQ) and classical-quantum (CQ) channels. Unlike conventional channel discrimination, we consider a framework where the sender, Alice, selects…

量子物理 · 物理学 2026-01-16 Masahito Hayashi , Hao-Chung Cheng , Li Gao

Alice and Bob are connected via a two-way channel, and Alice wants to send a message of $L$ bits to Bob. An adversary flips an arbitrary but finite number of bits, $T$, on the channel. This adversary knows our algorithm and Alice's message,…

密码学与安全 · 计算机科学 2017-07-27 Abhinav Aggarwal , Varsha Dani , Thomas Hayes , Jared Saia

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also feedback channel with independent additive Gaussian noise, and the transmitter observes without delay all outputs of the…

信息论 · 计算机科学 2012-08-15 M. V. Burnashev , H. Yamamoto

Suppose that a transmitter Alice potentially wishes to communicate with a receiver Bob over an adversarially jammed binary channel. An active adversary James eavesdrops on their communication over a binary symmetric channel (BSC(q)), and…

信息论 · 计算机科学 2021-06-25 Qiaosheng Zhang , Mayank Bakshi , Sidharth Jaggi

The objects of study of this paper are communication channels in which the dominant type of noise are symbol shifts, the main motivating examples being timing and bit-shift channels. Two channel models are introduced and their zero-error…

信息论 · 计算机科学 2020-08-13 Mladen Kovačević , Miloš Stojaković , Vincent Y. F. Tan

In interactive coding, Alice and Bob wish to compute some function $f$ of their individual private inputs $x$ and $y$. They do this by engaging in a non-adaptive (fixed order, fixed length) protocol to jointly compute $f(x,y)$. The goal is…

数据结构与算法 · 计算机科学 2021-11-09 Meghal Gupta , Rachel Yun Zhang

For the information transmission a binary symmetric channel is used. There is also another noisy binary symmetric channel (feedback channel), and the transmitter observes without delay all the outputs of the forward channel via that…

信息论 · 计算机科学 2008-08-18 Marat V. Burnashev , Hirosuke Yamamoto

In this work we consider a communication problem in which a sender, Alice, wishes to communicate with a receiver, Bob, over a channel controlled by an adversarial jammer, James, who is {\em myopic}. Roughly speaking, for blocklength $n$,…

信息论 · 计算机科学 2016-10-06 Bikash Kumar Dey , Sidharth Jaggi , Michael Langberg

Berlekamp and Zigangirov completely determined the capacity error function for binary error correcting codes with noiseless feedback. It is still an unsolved problem if the upper bound for the capacity error function in the non-binary case…

信息论 · 计算机科学 2020-11-20 Christian Deppe , Vladimir Lebedev

Alice is transmitting a private message to Bob across a bosonic wiretap channel with the help of a public feedback channel to which all parties, including the fully-quantum equipped Eve, have completely noiseless access. We find that by…

量子物理 · 物理学 2019-02-19 Dawei Ding , Saikat Guha

It is known that for a discrete channel with correlated additive noise, the ordinary capacity with or without feedback both equal $ \log q-\mathcal{H} (Z) $, where $ \mathcal{H}(Z) $ is the entropy rate of the noise process $ Z $ and $ q $…

信息论 · 计算机科学 2020-06-02 Amir Saberi , Farhad Farokhi , Girish N. Nair

In this paper, we consider encoding strategies for the Z-channel with noiseless feedback. We analyze the combinatorial setting where the maximum number of errors inflicted by an adversary is proportional to the number of transmissions,…

信息论 · 计算机科学 2021-02-11 Christian Deppe , Vladimir Lebedev , Georg Maringer , Nikita Polyanskii
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