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In the physical layer (PHY) of modern cellular systems, information is transmitted as a sequence of resource blocks (RBs) across various domains with each resource block limited to a certain time and frequency duration. In the PHY of 4G/5G…

Signal Processing · Electrical Eng. & Systems 2025-01-10 Karim A. Said , A. A. Louis Beex , Elizabeth Bentley , Lingjia Liu

Digital video broadcasting (DVB-C2) and other modern communication standards increase diversity by means of a symbol-level interleaver that spans over several codewords. De-interleaving at the receiver requires a large memory, which has a…

Information Theory · Computer Science 2016-11-15 Stefano Rosati , Stefano Tomasin , Matteo Butussi , Bixio Rimoldi

We study the problem of multi-bit watermarking for large language models (LLMs). We introduce a block-autoregressive model inspired by multi-token prediction, in which the encoder has limited non-causal access to token distributions within…

Information Theory · Computer Science 2026-05-19 Sidong Guo , Tyler Kann , Teodora Baluta , Matthieu R. Bloch

The lower bound on the decoding error probability for the optimal code given a signal-to-noise ratio and a code rate are investigated in this letter for the reconfigurable intelligent surface (RIS) communication system over a Rician fading…

Information Theory · Computer Science 2023-06-28 Likun Sui , Zihuai Lin

We present a low-complexity and low-latency decoding algorithm for a class of Reed-Muller (RM) subcodes that are defined based on the product of smaller RM codes. More specifically, the input sequence is shaped as a multi-dimensional array,…

Information Theory · Computer Science 2022-02-09 Mohammad Vahid Jamali , Mohammad Fereydounian , Hessam Mahdavifar , Hamed Hassani

Based on the notion of supercodes, we propose a two-phase maximum-likelihood soft-decision decoding (tpMLSD) algorithm for binary linear block codes in this work. The first phase applies the Viterbi algorithm backwardly to a trellis derived…

Information Theory · Computer Science 2014-08-07 Yunghsiang S. Han , Hung-Ta Pai , Po-Ning Chen , Ting-Yi Wu

A novel decoding algorithm is developed for general quantum convolutional codes. Exploiting useful ideas from classical coding theory, the new decoder introduces two innovations that drastically reduce the decoding complexity compared to…

Quantum Physics · Physics 2015-03-13 Peiyu Tan , Jing Li

This paper discusses the feasibility of using Large Language Models LLM for code generation with a particular application in designing an RISC. The paper also reviews the associated steps such as parsing, tokenization, encoding, attention…

Machine Learning · Computer Science 2024-01-22 Shadeeb Hossain , Aayush Gohil , Yizhou Wang

We examine an error-correcting coding framework in which each coded symbol is constrained to be a function of a fixed subset of the message symbols. With an eye toward distributed storage applications, we seek to design systematic codes…

Information Theory · Computer Science 2015-02-23 Wael Halbawi , Matthew Thill , Babak Hassibi

In this paper, we analyze the performance of space-time block codes which enable symbolwise maximum likelihood decoding. We derive an upper bound of maximum mutual information (MMI) on space-time block codes that enable symbolwise maximum…

Information Theory · Computer Science 2007-07-13 Kenji Tanaka , Ryutaroh Matsumoto , Tomohiko Uyematsu

This paper is focused on the performance analysis of binary linear block codes (or ensembles) whose transmission takes place over independent and memoryless parallel channels. New upper bounds on the maximum-likelihood (ML) decoding error…

Information Theory · Computer Science 2007-07-13 I. Sason , I. Goldenberg

In this paper we propose a matched decoding scheme for convolutionally encoded transmission over intersymbol interference (ISI) channels and devise a nonlinear trellis description. As an application we show that for coded continuous phase…

Information Theory · Computer Science 2012-08-02 Fabian Schuh , Johannes B. Huber

Molecular communication is a new field of communication where molecules are used to transfer information. Among the proposed methods, molecular communication via diffusion (MCvD) is particularly effective. One of the main challenges in MCvD…

Emerging Technologies · Computer Science 2014-10-31 Burcu Tepekule , Ali E. Pusane , H. Birkan Yilmaz , Chan-Byoung Chae , Tuna Tugcu

We establish area theorems for iterative detection over coded linear systems (including multiple-input multipleoutput (MIMO) channels, inter-symbol-interference (ISI) channels, and orthogonal frequency-division multiplexing (OFDM) systems).…

Information Theory · Computer Science 2012-08-24 Xiaojun Yuan , Li Ping , Chongbin Xu , Aleksandar Kavcic

This paper presents a reliability-based decoding scheme for variable-length coding with feedback and demonstrates via simulation that it can achieve higher rates than Polyanskiy et al.'s random coding lower bound for variable-length…

Information Theory · Computer Science 2016-11-17 Adam R. Williamson , Tsung-Yi Chen , Richard D. Wesel

We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that…

Information Theory · Computer Science 2019-07-09 Lukas Holzbaur , Sven Puchinger , Antonia Wachter-Zeh

Recursive list decoding of Reed-Muller (RM) codes, with moderate list size, is known to approach maximum-likelihood (ML) performance of short length $(\leq 256)$ RM codes. Recursive decoding employs the Plotkin construction to split the…

Information Theory · Computer Science 2022-07-20 Mikhail Kamenev

Recent work have shown that Reed-Muller (RM) codes achieve the erasure channel capacity. However, this performance is obtained with maximum-likelihood decoding which can be costly for practical applications. In this paper, we propose an…

Information Theory · Computer Science 2016-01-27 Alexandre Soro , Jerome Lacan , Vincent Roca , Valentin Savin , Mathieu Cunche

This paper introduces a novel problem, distributional information embedding, motivated by the practical demands of multi-bit watermarking for large language models (LLMs). Unlike traditional information embedding, which embeds information…

Cryptography and Security · Computer Science 2025-07-03 Haiyun He , Yepeng Liu , Ziqiao Wang , Yongyi Mao , Yuheng Bu

Despite their linguistic competence, Large Language Models (LLMs) often struggle to reason reliably and flexibly. To identify these shortcomings, we introduce the Non-Linear Reasoning (NLR) dataset, a collection of 55 unique, hand-designed…

Computation and Language · Computer Science 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi
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