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We propose a hybrid coded modulation scheme which composes of inner and outer codes. The outer-code can be any standard binary linear code with efficient soft decoding capability (e.g. low-density parity-check (LDPC) codes). The inner code…

Information Theory · Computer Science 2022-02-07 Sung Hoon Lim , Jiyong Han , Wonjong Noh , Yujae Song , Sang-Woon Jeon

Just as rank-metric or Gabidulin codes may be used to construct rate-diversity tradeoff optimal space-time codes, a recently introduced generalization for the sum-rank metric -- linearized Reed-Solomon codes -- accomplishes the same in the…

Information Theory · Computer Science 2021-03-10 Mohannad Shehadeh , Frank R. Kschischang

We analyze the achievable information rates (AIRs) for coded modulation schemes with QAM constellations with both bit-wise and symbol-wise decoders, corresponding to the case where a binary code is used in combination with a higher-order…

Information Theory · Computer Science 2017-11-03 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

A construction using the E8 lattice and Reed-Solomon codes for error-correction in flash memory is given. Since E8 lattice decoding errors are bursty, a Reed-Solomon code over GF($2^8$) is well suited. This is a type of coded modulation,…

Information Theory · Computer Science 2011-02-17 Brian M. Kurkoski

We consider a class of combinatorial optimization problems that emerge in a variety of domains among which: condensed matter physics, theory of financial risks, error correcting codes in information transmissions, molecular and protein…

Numerical Analysis · Mathematics 2025-10-20 L. Bussolari , P. Contucci , C. Giardina' , C. Giberti , F. Unguendoli , C. Vernia

The work establishes fundamental limits with respect to rate, reliability and computational complexity, for a general setting of outage-limited MIMO communications. In the high-SNR regime, the limits are optimized over all encoders, all…

Information Theory · Computer Science 2010-06-24 Petros Elia , Joakim Jalden

This study explores the throughput and delay that can be achieved by various forwarding schemes employing multiple paths and different degrees of redundancy focusing on linear network coding. The key contribution of the study is an…

Networking and Internet Architecture · Computer Science 2013-10-01 Manolis Ploumidis , Nikolaos Pappas , Vasilios A. Siris , Apostolos Traganitis

A novel recursive list decoding (RLD) algorithm for Reed-Muller (RM) codes based on successive permutations (SP) of the codeword is presented. A low-complexity SP scheme applied to a subset of the symmetry group of RM codes is first…

Information Theory · Computer Science 2022-09-22 Nghia Doan , Seyyed Ali Hashemi , Marco Mondelli , Warren J. Gross

Low-complexity precoding {algorithms} are proposed in this work to reduce the computational complexity and improve the performance of regularized block diagonalization (RBD) {based} precoding {schemes} for large multi-user {MIMO} (MU-MIMO)…

Information Theory · Computer Science 2013-04-25 Keke Zu , Rodrigo C. de Lamare , Martin Haardt

The implementation difficulties of combining distribution matching (DM) and dematching (invDM) for probabilistic shaping (PS) with soft-decision forward error correction (FEC) coding can be relaxed by reverse concatenation, for which the…

Signal Processing · Electrical Eng. & Systems 2024-01-25 Tsuyoshi Yoshida , Magnus Karlsson , Erik Agrell

Fault-tolerant quantum computation (FTQC) is expected to address a wide range of computational problems. To realize large-scale FTQC, it is essential to encode logical qubits using quantum error-correcting codes. High-rate concatenated…

Quantum Physics · Physics 2026-01-27 Takeshi Kakizaki

Throughput and per-packet delay can present strong trade-offs that are important in the cases of delay sensitive applications.We investigate such trade-offs using a random linear network coding scheme for one or more receivers in single hop…

Networking and Internet Architecture · Computer Science 2012-02-06 Weifei Zeng , Chris T. K. Ng , Muriel Medard

In this paper, we characterize the decoding region of algebraic soft decoding (ASD) of Reed-Solomon (RS) codes over erasure channels and binary symmetric channel (BSC). Optimal multiplicity assignment strategies (MAS) are investigated and…

Information Theory · Computer Science 2009-09-29 Jing Jiang , Krishna R. Narayanan

Soft-decision decoding is NP-hard problem of great interest to developers of communication system. We present an efficient soft-decision decoding of linear block codes based on compact genetic algorithm (cGA) and compare its performance…

Information Theory · Computer Science 2012-11-26 Ahmed Azouaoui , Ahlam Berkani , Mostafa Belkasmi

We propose a unified coded framework for distributed computing with straggling servers, by introducing a tradeoff between "latency of computation" and "load of communication" for some linear computation tasks. We show that the coded scheme…

Information Theory · Computer Science 2016-10-26 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

A scheme for concatenating the recently invented polar codes with non-binary MDS codes, as Reed-Solomon codes, is considered. By concatenating binary polar codes with interleaved Reed-Solomon codes, we prove that the proposed concatenation…

Information Theory · Computer Science 2016-11-17 Hessam Mahdavifar , Mostafa El-Khamy , Jungwon Lee , Inyup Kang

This paper deals with the design of slow-time coded waveforms which jointly optimize the detection probability and the measurements accuracy for track maintenance in the presence of colored Gaussian interference. The output…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Tao Fan , Augusto Aubry , Vincenzo Carotenuto , Antonio De Maio , Xianxiang Yu , Guolong Cui

We consider a communication system with multi-access fading channel. Each user in the system requires certain rate guarantee. Our main contribution is to devise a scheduling scheme called "Opportunistic Super-position Coding" that satisfies…

Information Theory · Computer Science 2009-11-24 Prasanna Chaporkar , Kimmo Kansanen , Ralf R. Müller

Recently a powerful class of rate-compatible serially concatenated convolutional codes (SCCCs) have been proposed based on minimizing analytical upper bounds on the error probability in the error floor region. Here this class of codes is…

Information Theory · Computer Science 2007-07-13 Alexandre Graell i Amat , Fredrik Brannstrom , Lars K. Rasmussen

This article is focused on some variations of Reed-Muller codes that yield improvements to the rate for a prescribed decoding performance under the Berlekamp-Massey-Sakata algorithm with majority voting. Explicit formulas for the…

Information Theory · Computer Science 2007-07-16 Maria Bras-Amorós , Michael E. O'Sullivan