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The performance of convolutional codes decoding by the Viterbi algorithm should not depend on the particular distribution of zeros and ones in the input messages, as they are linear. However, it was identified that specific implementations…

信息论 · 计算机科学 2015-10-06 Alexey Shapin , Denis Kleyko , Nikita Lyamin , Evgeny Osipov , Oleg Melentyev

We propose a modified iterative bounded distance decoding of product codes. The proposed algorithm is based on exchanging hard messages iteratively and exploiting channel reliabilities to make hard decisions at each iteration. Performance…

信息论 · 计算机科学 2018-05-15 Alireza Sheikh , Alexandre Graell i Amat , Gianluigi Liva

(Block-)coordinate minimization is an iterative optimization method which in every iteration finds a global minimum of the objective over a variable or a subset of variables, while keeping the remaining variables constant. While for some…

最优化与控制 · 数学 2019-10-22 Tomáš Werner , Daniel Průša

The puncturing and shortening technique are two important approaches to constructing new linear codes from old ones. In the past 70 years, a lot of progress on the puncturing technique has been made, and many works on punctured linear codes…

信息论 · 计算机科学 2020-07-14 Yang Liu , Cunsheng Ding , Chunming Tang

Due to the recent challenges in post-quantum cryptography, several new approaches for code-based cryptography have been proposed. For example, a variant of the McEliece cryptosystem based on interleaved codes was proposed. In order to deem…

This paper presents our low-latency Polar code encoders and decoders developed for the 2025 International Symposium on Topics in Coding (ISTC 2025) contest, which challenges participants to implement the fastest possible channel code…

网络与互联网体系结构 · 计算机科学 2025-07-08 Mathieu Leonardon , Mohammed El Houcine Ayoubi , Adrien Cassagne , Romain Tajan , Camille Leroux

Future autonomous systems require wireless connectivity able to support extremely stringent requirements on both latency and reliability. In this paper, we leverage recent developments in the field of finite-blocklength information theory…

信息论 · 计算机科学 2016-11-29 Johan Östman , Giuseppe Durisi , Erik G. Ström , Jingya Li , Henrik Sahlin , Gianluigi Liva

A large number of streaming applications use reliable transport protocols such as TCP to deliver content over the Internet. However, head-of-line blocking due to packet loss recovery can often result in unwanted behavior and poor…

信息论 · 计算机科学 2014-08-08 Jason Cloud , Douglas Leith , Muriel Medard

In this study, we investigate the characteristics of scheduling sequences that enable efficient decoding of generalized low-density parity-check (GLDPC) codes under the layered message-passing algorithm. In particular, we show that…

信息论 · 计算机科学 2026-04-28 Qingqing Peng , Dongxu Chang , Guiying Yan , Guanghui Wang

A spread code is a set of vector spaces of a fixed dimension over a finite field Fq with certain properties used for random network coding. It can be constructed in different ways which lead to different decoding algorithms. In this work we…

信息论 · 计算机科学 2014-06-20 Felice Manganiello , Anna-Lena Trautmann

We discuss the similarities and differences between training an auto-encoder to minimize the reconstruction error, and training the same auto-encoder to compress the data via a generative model. Minimizing a codelength for the data using an…

神经与进化计算 · 计算机科学 2015-01-26 Yann Ollivier

It is known that the bit errors of polar codes with successive cancellation (SC) decoding are coupled. However, existing concatenation schemes of polar codes with other error correction codes rarely take this coupling effect into…

信息论 · 计算机科学 2018-12-31 Ya Meng , Liping Li , Chuan Zhang

A novel adaptive binary decoding algorithm for LDPC codes is proposed, which reduces the decoding complexity while having a comparable or even better performance than corresponding non-adaptive alternatives. In each iteration the variable…

信息论 · 计算机科学 2009-04-24 Ingmar Land , Gottfried Lechner , Lars K. Rasmussen

Subspace codes and particularly constant dimension codes have attracted much attention in recent years due to their applications in random network coding. As a particular subclass of subspace codes, cyclic subspace codes have additional…

信息论 · 计算机科学 2017-07-17 Bocong Chen , Hongwei Liu

This letter investigates a new class of index coding problems. One sender broadcasts packets to multiple users, each desiring a subset, by exploiting prior knowledge of linear combinations of packets. We refer to this class of problems as…

信息论 · 计算机科学 2016-11-18 Namyoon Lee , Alexandros G. Dimakis , Robert W. Heath

We propose a new low-density parity-check code construction scheme based on 2-lifts. The proposed codes have an advantage of admitting efficient hardware implementations. With the motivation of designing codes with low error floors, we…

信息论 · 计算机科学 2009-08-27 Xudong Ma , En-hui Yang

Partial spread is important in finite geometry and can be used to construct linear codes. From the results in (Designs, Codes and Cryptography 90:1-15, 2022) by Xia Li, Qin Yue and Deng Tang, we know that if the number of the elements in a…

信息论 · 计算机科学 2023-05-10 W. Lu , X. Wu , X. W. Cao , G. J. Luo , X. P. Qin

This work considers optimizing LDPC codes in the physical-layer network coded two-way relay channel using noncoherent FSK modulation. The error-rate performance of channel decoding at the relay node during the multiple-access phase was…

信息论 · 计算机科学 2015-02-23 Terry Ferrett , Matthew C. Valenti

In this work, the geometric relation between space time block code design for the coherent channel and its non-coherent counterpart is exploited to get an analogue of the information theoretic inequality $I(X;S)\le I((X,H);S)$ in terms of…

信息论 · 计算机科学 2007-07-16 Oliver Henkel

We investigate the distance properties of linear locally recoverable codes (LRC codes) with all-symbol locality and availability. New upper and lower bounds on the minimum distance of such codes are derived. The upper bound is based on the…

信息论 · 计算机科学 2017-02-07 Stanislav Kruglik , Alexey Frolov