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Reed Muller (RM) codes are known for their good minimum distance. One can use their structure to construct polar-like codes with good distance properties by choosing the information set as the rows of the polarization matrix with the…

Information Theory · Computer Science 2022-04-15 Samet Gelincik , Philippe Mary , Anne Savard , Jean-Yves Baudais

We study reliable communication over finite-state channels (FSCs) using Reed--Muller (RM) codes. Building on recent symmetry-based analyses for memoryless channels, we show that a sequence of binary RM codes (with some random scrambling)…

Information Theory · Computer Science 2026-04-17 Henry D. Pfister , Navin Kashyap , Jean-Francois Chamberland , Galen Reeves

As large language models (LLMs) increasingly integrate native code interpreters, they enable powerful real-time execution capabilities, substantially expanding their utility. However, such integrations introduce potential system-level…

Cryptography and Security · Computer Science 2025-07-28 Gabriel Chua

Diffusion Large Language Models (dLLMs) have emerged as a promising alternative to autoregressive generation by enabling parallel token prediction. However, practical dLLM decoding still suffers from high inference latency, which limits…

Computation and Language · Computer Science 2026-04-22 Zhenbang Du , Kejing Xia , Xinrui Zhong , Yonggan Fu , Nicolai Oswald , Binfei Ji , Brucek Khailany , Pavlo Molchanov , Yingyan Lin

We study quantization of log-likelihood ratios (LLR) in bit-interleaved coded modulation (BICM) systems in terms of an equivalent discrete channel. We propose to design the quantizer such that the quantizer outputs become equiprobable. We…

Information Theory · Computer Science 2009-05-06 Clemens Novak , Peter Fertl , Gerald Matz

We present an approach to showing that a linear code is resilient to random errors. We use this approach to obtain decoding results for both transitive codes and Reed-Muller codes. We give three kinds of results about linear codes in…

Information Theory · Computer Science 2025-02-27 Anup Rao , Oscar Sprumont

We construct $s$-interleaved linearized Reed--Solomon (ILRS) codes and variants and propose efficient decoding schemes that can correct errors beyond the unique decoding radius in the sum-rank metric. The proposed interpolation-based scheme…

Information Theory · Computer Science 2025-09-10 Hannes Bartz , Sven Puchinger

In this paper, we use a linear programming (LP) optimization approach to evaluate the equivocation for a wiretap channel where the main channel is noiseless, and the wiretap channel is a binary symmetric channel (BSC). Using this technique,…

Information Theory · Computer Science 2024-01-17 Ali Nikkhah , Morteza Shoushtari , Bahareh Akhbari , Willie K. Harrison

Tree-based demappers for multiple-input multiple-output (MIMO) detection such as the sphere decoder can achieve near-optimal performance but incur high computational cost due to their sequential nature. In this paper, we propose the…

Information Theory · Computer Science 2022-09-12 Daniel E. Worrall , Markus Peschl , Arash Behboodi , Roberto Bondesan

We construct a class of linear space-time block codes for any number of transmit antennas that have controllable ML decoding complexity with a maximum rate of 1 symbol per channel use. The decoding complexity for $M$ transmit antennas can…

Information Theory · Computer Science 2012-05-22 Naresh Sharma , Pavan R. Pinnamraju , Constantinos B. Papadias

We consider recursive decoding for Reed-Muller (RM) codes and their subcodes. Two new recursive techniques are described. We analyze asymptotic properties of these algorithms and show that they substantially outperform other decoding…

Information Theory · Computer Science 2017-03-17 Ilya Dumer , Kirill Shabunov

Visible light communication (VLC)-based beacon systems, which usually transmit identification (ID) information in small-size data frames are applied widely in indoor localization applications. There is one fact that flicker of LED light…

Signal Processing · Electrical Eng. & Systems 2018-05-31 Duc-Phuc Nguyen , Dinh-Dung Le , Thi-Hong Tran , Huu-Thuan Huynh , Yasuhiko Nakashima

A binary code of blocklength $n$ and codebook size $M$ is called an $(n,M)$ code, which is studied for memoryless binary symmetric channels (BSCs) with the maximum likelihood (ML) decoding. For any $n \geq 2$, some optimal codes among the…

Information Theory · Computer Science 2023-07-06 Yanyan Dong , Shenghao Yang

As large language models (LLMs) scale, their inference incurs substantial computational resources, exposing them to energy-latency attacks, where crafted prompts induce high energy and latency cost. Existing attack methods aim to prolong…

Cryptography and Security · Computer Science 2025-11-12 Xingyu Li , Xiaolei Liu , Cheng Liu , Yixiao Xu , Kangyi Ding , Bangzhou Xin , Jia-Li Yin

Mart{\'\i}nez-Pe{\~n}as and Kschischang (IEEE Trans.\ Inf.\ Theory, 2019) proposed lifted linearized Reed--Solomon codes as suitable codes for error control in multishot network coding. We show how to construct and decode \ac{LILRS} codes.…

Information Theory · Computer Science 2023-07-13 Hannes Bartz , Sven Puchinger

Current flicker mitigation (or DC-balance) solutions based on run-length limited (RLL) decoding algorithms are high in complexity, suffer from reduced code rates, or are limited in application to hard-decoding forward error correction (FEC)…

Information Theory · Computer Science 2019-04-02 Duc-Phuc Nguyen , Dinh-Dung Le , Thi-Hong Tran , Yasuhiko Nakashima

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

Run-length limited (RLL) codes are a well-studied class of constrained codes having application in diverse areas such as optical and magnetic data recording systems, DNA-based storage, and visible light communication. RLL codes have also…

Information Theory · Computer Science 2018-07-25 Anshoo Tandon , Mehul Motani , Lav R. Varshney

In this paper, we study the problem of latency and reliability trade-off in ultra-reliable low-latency communication (URLLC) in the presence of decoding complexity constraints. We consider linear block encoded codewords transmitted over a…

Information Theory · Computer Science 2021-01-08 Hasan Basri Celebi , Antonios Pitarokoilis , Mikael Skoglund

Optimal decoding of bit interleaved coded modulation (BICM) MIMO-OFDM where an imperfect channel estimate is available at the receiver is investigated. First, by using a Bayesian approach involving the channel a posteriori density, we…

Networking and Internet Architecture · Computer Science 2007-08-13 Sajad Sadough , Pablo Piantanida , Pierre Duhamel