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Polar codes are capacity-achieving error-correcting codes with an explicit construction that can be decoded with low-complexity algorithms. In this work, we show how the state-of-the-art low-complexity decoding algorithm can be improved to…

Information Theory · Computer Science 2016-08-29 Pascal Giard , Alexios Balatsoukas-Stimming , Gabi Sarkis , Claude Thibeault , Warren J. Gross

Cyclic redundancy check (CRC) aided polar codes are capable of achieving better performance than low-density parity-check (LDPC) codes under the successive cancelation list (SCL) decoding scheme. However, the SCL decoding scheme suffers…

Information Theory · Computer Science 2016-09-29 Mao-Ching Chiu , Wei-De Wu

In a large-scale distributed machine learning system, coded computing has attracted wide-spread attention since it can effectively alleviate the impact of stragglers. However, several emerging problems greatly limit the performance of coded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-06-10 Houming Qiu , Kun Zhu , Nguyen Cong Luong , Dusit Niyato

We present novel soft-input soft-output (SISO) multiple-input multiple-output (MIMO) detectors based on the Chase detection principle [1] in the context of iterative and decoding (IDD). The proposed detector complexity is linear in the…

Information Theory · Computer Science 2015-06-22 Ahmad Gomaa , Louay Jalloul

Error-correcting codes enable reliable communication, yet practical soft decoding remains challenging across code families and block lengths. We propose SB-ECC, a score-based decoder that casts decoding as continuous-time denoising. A…

Machine Learning · Computer Science 2026-05-28 Alon Helvits , Eliya Nachmani

Quantum Error Correction (QEC) is regarded as the most promising path to quantum advantage. The success of QEC relies on achieving quantum gate fidelities below the error threshold of the QEC code, while accurately decoding errors through…

Quantum Physics · Physics 2026-02-13 Yaniv Kurman , Lior Ella , Nir Halay , Oded Wertheim , Yonatan Cohen

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

Information Theory · Computer Science 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

A low-complexity soft-decision concatenated FEC scheme, consisting of an inner LDPC code and an outer staircase code is proposed. The inner code is tasked with reducing the bit error probability below the outer-code threshold. The…

Information Theory · Computer Science 2018-09-25 Masoud Barakatain , Frank R. Kschischang

This paper proposes an enhanced list-aided successive cancellation stack (ELSCS) decoding algorithm with adjustable decoding complexity. In addition, a logarithmic likelihood ratio (LLR)-threshold based path extension scheme is designed to…

Information Theory · Computer Science 2019-12-18 Haotian Zheng , Bin Chen , Luis F. Abanto-Leon , Zizheng Cao , Ton Koonen

We propose a new class of information-coupled (IC) Turbo codes to improve the transport block (TB) error rate performance for long-term evolution (LTE) systems, while keeping the hybrid automatic repeat request protocol and the Turbo…

Information Theory · Computer Science 2017-09-21 Lei Yang , Yixuan Xie , Xiaowei Wu , Jinhong Yuan , Xingqing Cheng , Lei Wan

A new lower bound on the minimum distance of q-ary cyclic codes is proposed. This bound improves upon the Bose-Chaudhuri-Hocquenghem (BCH) bound and, for some codes, upon the Hartmann-Tzeng (HT) bound. Several Boston bounds are special…

Information Theory · Computer Science 2012-03-13 Alexander Zeh , Antonia Wachter , Sergey Bezzateev

The enormous technological potential accumulated over the past two decades would make it possible to change the operating principles of power systems entirely. The consequent technological evolution is not only affecting the structure of…

Systems and Control · Electrical Eng. & Systems 2020-11-30 Liliia Ageeva , Maryam Majidi , David Pozo

Partially information coupled turbo codes (PIC-TCs) is a class of spatially coupled turbo codes that can approach the BEC capacity while keeping the encoding and decoding architectures of the underlying component codes unchanged. However,…

Information Theory · Computer Science 2020-06-23 Xiaowei Wu , Min Qiu , Jinhong Yuan

Cacioli (2026) showed that the K-way energy probe on standard discriminative predictive coding networks reduces approximately to a monotone function of the log-softmax margin. The reduction rests on five assumptions, including cross-entropy…

Computation and Language · Computer Science 2026-04-24 Jon-Paul Cacioli

In this paper, we introduce a novel class of pre-transformed polar codes, termed as deep polar codes. We first present a deep polar encoder that harnesses a series of multi-layered polar transformations with varying sizes. Our approach to…

Information Theory · Computer Science 2023-08-08 Geon Choi , Namyoon Lee

This paper first presents a new approach to evaluating the descriptive complexity of finite-length binary sequences. Specifically, we investigate the sequence-wise recovery behavior induced by polar compression and successive cancellation…

Information Theory · Computer Science 2026-05-15 Xinyuanmeng Yao , Xiao Ma

This paper is concerned with the ordered statistic decoding with local constraints (LC-OSD) of binary linear block codes, which is a near maximum-likelihood decoding algorithm. Compared with the conventional OSD, the LC-OSD significantly…

Information Theory · Computer Science 2024-01-31 Jifan Liang , Xiao Ma

In this paper, we propose a new distributed coding structure with a soft input soft output (SISO) relay encoder for error-prone parallel relay channels. We refer to it as the distributed soft coding (DISC). In the proposed scheme, each…

Information Theory · Computer Science 2016-11-17 Yonghui Li , Md. Shahriar Rahman , Soon Xin Ng , Branka Vucetic

Inspired by modular software design principles of independence, interchangeability, and clarity of interface, we introduce a method for enforcing encoder-decoder modularity in seq2seq models without sacrificing the overall model quality or…

Computation and Language · Computer Science 2019-11-12 Siddharth Dalmia , Abdelrahman Mohamed , Mike Lewis , Florian Metze , Luke Zettlemoyer

While feasibility and obtaining a solution of a given network coding problem are well studied, the decoding procedure and complexity have not garnered much attention. We consider the decoding problem in a network wherein the sources…

Information Theory · Computer Science 2015-10-14 Anindya Gupta , B. Sundar Rajan