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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

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

The input-constrained erasure channel with feedback is considered, where the binary input sequence contains no consecutive ones, i.e., it satisfies the $(1,\infty)$-RLL constraint. We derive the capacity for this setting, which can be…

Information Theory · Computer Science 2015-03-12 Oron Sabag , Haim H. Permuter , Navin Kashyap

In the communication problem $\mathbf{UR}$ (universal relation) [KRW95], Alice and Bob respectively receive $x$ and $y$ in $\{0,1\}^n$ with the promise that $x\neq y$. The last player to receive a message must output an index $i$ such that…

Computational Complexity · Computer Science 2017-03-24 Jelani Nelson , Jakub Pachocki , Zhengyu Wang

We consider the transmission of nonexponentially many messages through a binary symmetric channel with noiseless feedback. We obtain an upper bound for the best decoding error exponent. Combined with the corresponding known lower bound,…

Information Theory · Computer Science 2022-10-14 Marat V. Burnashev

An index coding scheme in which the source (transmitter) transmits binary symbols over a wireless fading channel is considered. Index codes with the transmitter using minimum number of transmissions are known as optimal index codes.…

Information Theory · Computer Science 2015-04-14 Anoop Thomas , Kavitha R. , Chandramouli A. , B. Sundar Rajan

Coin flipping is a cryptographic primitive in which two spatially separated players, who in principle do not trust each other, wish to establish a common random bit. If we limit ourselves to classical communication, this task requires…

Quantum Physics · Physics 2013-05-29 Guido Berlin , Gilles Brassard , Felix Bussieres , Nicolas Godbout

To reduce the resource demand of neural network (NN) inference systems, it has been proposed to use approximate memory, in which the supply voltage and the timing parameters are tuned trading accuracy with energy consumption and…

This paper considers the performance of Reed-Muller (RM) codes transmitted over binary memoryless symmetric (BMS) channels under bitwise maximum-a-posteriori (bit-MAP) decoding. Its main result is that, for a fixed BMS channel, the family…

Information Theory · Computer Science 2023-06-14 Galen Reeves , Henry D. Pfister

We fully determine the communication complexity of approximating matrix rank, over any finite field $\mathbb{F}$. We study the most general version of this problem, where $0\leq r<R\leq n$ are given integers, Alice and Bob's inputs are…

Computational Complexity · Computer Science 2024-10-29 Alexander A. Sherstov , Andrey A. Storozhenko

Adversarial input attacks can cause a significant shift of CLIP embeddings. This can affect the downstream robustness of models incorporating CLIP in the pipeline, such as text-to-image generative models or large vision language models.…

Machine Learning · Computer Science 2025-10-13 Elias Abad Rocamora , Christian Schlarmann , Naman Deep Singh , Yongtao Wu , Matthias Hein , Volkan Cevher

Error correcting codes play a central role in digital communication, ensuring that transmitted information can be accurately reconstructed despite channel impairments. Recently, autoencoder (AE) based approaches have gained attention for…

Information Theory · Computer Science 2025-11-13 Vukan Ninkovic , Dejan Vukobratovic

In this paper, we consider a common unicast beamforming network where Alice utilizes the communication to Carol as a cover and covertly transmits a message to Bob without being recognized by Willie. We investigate the beamformer design of…

Information Theory · Computer Science 2021-04-01 Shuai Ma , Yunqi Zhang , Hang Li , Songtao Lu , Naofal Al-Dhahir , Sha Zhang , Shiyin Li

We consider interactive coding in a setting where $n$ parties wish to compute a joint function of their inputs via an interactive protocol over imperfect channels. We assume that adversarial errors can comprise a $\mathcal{O}(\frac{1}{n})$…

Data Structures and Algorithms · Computer Science 2015-03-24 Allison Lewko , Ellen Vitercik

Suppose Alice wishes to send messages to Bob through a communication channel C_1, but her transmissions also reach an eavesdropper Eve through another channel C_2. The goal is to design a coding scheme that makes it possible for Alice to…

Information Theory · Computer Science 2011-10-05 Hessam Mahdavifar , Alexander Vardy

The design of block codes for short information blocks (e.g., a thousand or less information bits) is an open research problem that is gaining relevance thanks to emerging applications in wireless communication networks. In this paper, we…

Information Theory · Computer Science 2019-03-12 Mustafa Cemil Coşkun , Giuseppe Durisi , Thomas Jerkovits , Gianluigi Liva , William Ryan , Brian Stein , Fabian Steiner

Crossbar resistive memory with the 1 Selector 1 Resistor (1S1R) structure is attractive for nonvolatile, high-density, and low-latency storage-class memory applications. As technology scales down to the single-nm regime, the increasing…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Zehui Chen , Lara Dolecek

Communication-avoiding algorithms allow redundant computations to minimize the number of inter-process communications. In this paper, we propose to exploit this redundancy for fault-tolerance purpose. We illustrate this idea with QR…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-03 Camille Coti

We compare the performance of short-length linear binary codes on the binary erasure channel and the binary-input Gaussian channel. We use a universal decoder that can decode any linear binary block code: Gaussian-elimination based…

Information Theory · Computer Science 2016-11-09 J. Van Wonterghem , A. Alloum , J. J. Boutros , M. Moeneclaey

The question whether RM codes are capacity-achieving is a long-standing open problem in coding theory that was recently answered in the affirmative for transmission over erasure channels [1], [2]. Remarkably, the proof does not rely on…

Information Theory · Computer Science 2016-07-12 Shrinivas Kudekar , Santhosh Kumar , Marco Mondelli , Henry D. Pfister , Rüdiger Urbanke