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Traditional error-correcting codes (ECCs) assume a fixed message length, but many scenarios involve ongoing or indefinite transmissions where the message length is not known in advance. For example, when streaming a video, the user should…

Data Structures and Algorithms · Computer Science 2025-04-09 Klim Efremenko , Or Zamir

In this work, we study two-party interactive coding for adversarial noise, when both parties have limited memory. We show how to convert any adaptive protocol $\Pi$ into a protocol $\Pi'$ that is robust to an $\epsilon$-fraction of…

Information Theory · Computer Science 2024-08-14 Dorsa Fathollahi , Bernhard Haeupler , Nicolas Resch , Mary Wootters

The design of codes for feedback-enabled communications has been a long-standing open problem. Recent research on non-linear, deep learning-based coding schemes have demonstrated significant improvements in communication reliability over…

Information Theory · Computer Science 2023-06-09 Junghoon Kim , Taejoon Kim , David Love , Christopher Brinton

We study coding schemes for error correction in interactive communications. Such interactive coding schemes simulate any $n$-round interactive protocol using $N$ rounds over an adversarial channel that corrupts up to $\rho N$ transmissions.…

Data Structures and Algorithms · Computer Science 2014-04-17 Mohsen Ghaffari , Bernhard Haeupler

In 1-bit compressed sensing, the aim is to estimate a $k$-sparse unit vector $x\in S^{n-1}$ within an $\epsilon$ error (in $\ell_2$) from minimal number of linear measurements that are quantized to just their signs, i.e., from measurements…

Information Theory · Computer Science 2023-10-13 Namiko Matsumoto , Arya Mazumdar

We characterize the communication complexity of the following distributed estimation problem. Alice and Bob observe infinitely many iid copies of $\rho$-correlated unit-variance (Gaussian or $\pm1$ binary) random variables, with unknown…

Information Theory · Computer Science 2019-04-19 Uri Hadar , Jingbo Liu , Yury Polyanskiy , Ofer Shayevitz

We develop a one-out-of-two oblivious transfer protocol over the binary-input additive white Gaussian noise (BI-AWGN) channel using polar codes. The scheme uses two decoder views linked by automorphisms of the polar transform and publicly…

Information Theory · Computer Science 2026-02-13 Pin-Hsun Lin , Hadi Aghaee , Christian Deppe , Eduard A. Jorswieck , Holger Boche

Gap Hamming Distance is a well-studied problem in communication complexity, in which Alice and Bob have to decide whether the Hamming distance between their respective n-bit inputs is less than n/2-sqrt(n) or greater than n/2+sqrt(n). We…

Computational Complexity · Computer Science 2009-12-31 Joshua Brody , Amit Chakrabarti , Oded Regev , Thomas Vidick , Ronald de Wolf

We propose a new adversarial attack on frequency-hopping based wireless communication between two users, namely Alice and Bob. In this attack, the adversary, referred to as Eve, instantaneously modifies the transmitted signal by Alice…

Information Theory · Computer Science 2019-03-28 J. Harshan , Yih-Chun Hu

The paper considers the input-constrained binary erasure channel (BEC) with causal, noiseless feedback. The channel input sequence respects the $(d,\infty)$-runlength limited (RLL) constraint, i.e., any pair of successive $1$s must be…

Information Theory · Computer Science 2021-02-19 V. Arvind Rameshwar , Navin Kashyap

Given a channel with length-$n$ inputs and outputs over the alphabet $\{0,1,\ldots,q-1\}$, and of which a fraction $\varrho \in (0,1-1/q)$ of symbols can be arbitrarily corrupted by an adversary, a fundamental problem is that of…

Information Theory · Computer Science 2025-11-11 Pranav Joshi , Daniel McMorrow , Yihan Zhang , Amitalok J. Budkuley , Sidharth Jaggi

We study variable-length codes for point-to-point discrete memoryless channels with noiseless unlimited-rate feedback that occurs in $L$ bursts. We term such codes variable-length bursty-feedback (VLBF) codes. Unlike classical codes with…

Information Theory · Computer Science 2023-06-27 James Y. Chen , Recep Can Yavas , Victoria Kostina

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…

Information Theory · Computer Science 2012-08-15 M. V. Burnashev , H. Yamamoto

We study oblivious transfer (OT) between Alice and Bob in the presence of an eavesdropper Eve over a degraded wiretapped binary erasure channel from Alice to Bob and Eve. In addition to the privacy goals of oblivious transfer between Alice…

Information Theory · Computer Science 2016-11-17 Manoj Mishra , Bikash Kumar Dey , Vinod M. Prabhakaran , Suhas Diggavi

Space-time codes leverage the availability of multiple antennas to enhance the reliability of communication over wireless channels. While space-time codes have initially been designed with a focus on open-loop systems, recent technological…

Information Theory · Computer Science 2016-11-17 Che Lin , Vasanthan Raghavan , Venu Veeravalli

We present an optimized secure multi-antenna transmission approach based on artificial-noise-aided beamforming, with limited feedback from a desired single-antenna receiver. To deal with beamformer quantization errors as well as unknown…

Information Theory · Computer Science 2015-01-22 Xi Zhang , Matthew R. McKay , Xiangyun Zhou , Robert W. Heath

The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error correcting code which takes advantage of this asymmetry and shows good performance at…

Quantum Physics · Physics 2015-06-26 Lev Ioffe , Marc Mezard

The goal of combining beamforming and space-time coding in this work is to obtain full-diversity order and to provide additional received power (array gain) compared to conventional space-time codes. In our system, we consider a…

Information Theory · Computer Science 2008-04-23 Siavash Ekbatani , Hamid Jafarkhani

The intrinsic probabilistic nature of quantum systems makes error correction or mitigation indispensable for quantum computation. While current error-correcting strategies focus on correcting errors in quantum states or quantum gates, these…

Quantum Physics · Physics 2023-01-23 Andrew K. Tan , Yuan Liu , Minh C. Tran , Isaac L. Chuang

In this paper we consider the following question: how many bits of classical communication and shared random bits are necessary to simulate a quantum protocol involving Alice and Bob where they share k entangled quantum bits and do not…

Quantum Physics · Physics 2007-05-23 Allison Coates
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