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Non-uniquely decodable codes can be defined as the codes that cannot be uniquely decoded without additional disambiguation information. These are mainly the class of non-prefix-free codes, where a codeword can be a prefix of other(s), and…

Data Structures and Algorithms · Computer Science 2019-11-14 M. Oğuzhan Külekci , Yasin Öztürk , Elif Altunok , Can Altıniğne

Many data compressors regularly encode probability distributions for entropy coding - requiring minimal description length type of optimizations. Canonical prefix/Huffman coding usually just writes lengths of bit sequences, this way…

Information Theory · Computer Science 2022-07-05 Jarek Duda

Multidimensional Voronoi constellations (VCs) are shown to be more power-efficient than quadrature amplitude modulation (QAM) formats given the same uncoded bit error rate, and also have higher achievable information rates. However, a coded…

Information Theory · Computer Science 2023-08-02 S. Li , A. Mirani , M. Karlsson , E. Agrell

Universal variable-to-fixed (V-F) length coding of $d$-dimensional exponential family of distributions is considered. We propose an achievable scheme consisting of a dictionary, used to parse the source output stream, making use of the…

Information Theory · Computer Science 2017-08-02 Nematollah Iri , Oliver Kosut

In this paper, a novel concept called a \textit{uniquely factorable constellation pair} (UFCP) is proposed for the systematic design of a noncoherent full diversity collaborative unitary space-time block code by normalizing two Alamouti…

Information Theory · Computer Science 2011-09-21 Dong Xia , Jian-Kang Zhang , Sorina Dumitrescu

The problem of joint shaping and precoding is studied in this paper. We introduce statistical dependencies among consecutive symbols to shape the constellation while minimizing the total transmit power when the signal goes through the…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Babaee Ramin , Oveis Gharan Shahab , Bouchard Martin

Large Language Models (LLMs) have been widely adopted in commercial code completion engines, significantly enhancing coding efficiency and productivity. However, LLMs may generate code with quality issues that violate coding standards and…

Software Engineering · Computer Science 2025-03-20 Yuan Jiang , Yujian Zhang , Liang Lu , Christoph Treude , Xiaohong Su , Shan Huang , Tiantian Wang

We describe an algorithm computing an optimal prefix free code for $n$ unsorted positive weights in time within $O(n(1+\lg \alpha))\subseteq O(n\lg n)$, where the alternation $\alpha\in[1..n-1]$ measures the amount of sorting required by…

Data Structures and Algorithms · Computer Science 2016-02-02 Jérémy Barbay

In this work, the design of robust, protograph-based low-density parity-check (LDPC) codes for rate-adaptive communication via probabilistic shaping is considered. Recently, probabilistic amplitude shaping (PAS) by B\"ocherer et al. has…

Information Theory · Computer Science 2016-07-04 Fabian Steiner , Patrick Schulte

This paper considers a general framework for massive random access based on sparse superposition coding. We provide guidelines for the code design and propose the use of constant-weight codes in combination with a dictionary design based on…

Information Theory · Computer Science 2022-07-27 Patrick Agostini , Zoran Utkovski , Alexis Decurninge , Maxime Guillaud , Slawomir Stanczak

In this paper, we investigate the optimal probabilistic constellation shaping design for covert communication systems from a practical view. Different from conventional covert communications with equiprobable constellations modulation, we…

Information Theory · Computer Science 2022-08-31 Shuai Ma , Yunqi Zhang , Haihong Sheng , Hang Li , Jia Shi , Long Yang , Youlong Wu , Naofal Al-Dhahir , Shiyin Li

In this work, we present an optimization framework for sparse variable-length stop-feedback (VLSF) codes based on a saddlepoint approximation, which jointly optimizes the decoding configuration parameters. Thanks to the analytical…

Information Theory · Computer Science 2026-04-20 Guodong Sun , Samir M. Perlaza , Philippe Mary , Jean-Marie Gorce

It was recently shown that spatial coupling of individual low-density parity-check codes improves the belief-propagation threshold of the coupled ensemble essentially to the maximum a posteriori threshold of the underlying ensemble. We…

Information Theory · Computer Science 2011-08-03 Vahid Aref , Rüdiger L. Urbanke

Let $P = \{p(i)\}$ be a measure of strictly positive probabilities on the set of nonnegative integers. Although the countable number of inputs prevents usage of the Huffman algorithm, there are nontrivial $P$ for which known methods find a…

Information Theory · Computer Science 2007-07-13 Michael B. Baer

In this letter, we evaluate the finite-length performance of network coding when using either random or structured encoding matrices. First, we present our novel construction of structured network codes over Fq (q = 2^m) using Pascal…

Networking and Internet Architecture · Computer Science 2019-11-28 Tan Do-Duy , M. Angeles Vazquez-Castro

We describe an algorithm computing an optimal prefix free code from $N$ unsorted positive integer weights in time linear in the number of machine words holding those weights. This algorithm takes advantage of common non-algebraic…

Data Structures and Algorithms · Computer Science 2017-03-02 Jérémy Barbay

Efficient optimal prefix coding has long been accomplished via the Huffman algorithm. However, there is still room for improvement and exploration regarding variants of the Huffman problem. Length-limited Huffman coding, useful for many…

Information Theory · Computer Science 2007-07-13 Michael B. Baer

In this paper, we propose a practical adaptive coding modulation scheme to approach the capacity of free-space optical (FSO) channels with intensity modulation/direct detection based on probabilistic shaping. The encoder efficiently adapts…

Information Theory · Computer Science 2020-12-01 Ahmed Elzanaty , Mohamed-Slim Alouini

We address the recently suggested problem of causal lossless coding of a randomly arriving source samples. We construct variable-to-fixed coding schemes and show that they outperform the previously considered fixed-to-variable schemes when…

Information Theory · Computer Science 2020-10-27 Uri Abend , Anatoly Khina

The probabilistic shaping scheme from Honda and Yamamoto (2013) for polar codes is used to enable power-efficient signaling for on-off keying (OOK). As OOK has a non-symmetric optimal input distribution, shaping approaches that are based on…

Information Theory · Computer Science 2019-07-22 Thomas Wiegart , Fabian Steiner , Patrick Schulte , Peihong Yuan