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This paper proposes the design of polar and convolutional coset codes for the unequal message protection (UMP) in the short blocklength regime, to overcome the rate loss introduced by preamble-based solutions. After providing conditions to…

Information Theory · Computer Science 2026-04-21 Alexander Sauter , Riccardo Schiavone , Lucía Balsa Picado , Gianluigi Liva

In Ref. [1], Bravyi et al. found examples of Bivariate Bicycle (BB) codes with similar logical performance to the surface code but with an improved encoding rate. In this work, we generalize a novel parity-check circuit design principle…

Quantum Physics · Physics 2025-03-27 Mackenzie H. Shaw , Barbara M. Terhal

This paper investigates the design of self-connected spatially coupled low-density parity-check (SC-LDPC) codes. First, a termination method is proposed to reduce rate loss. Particularly, a single-side open SC-LDPC ensemble is introduced,…

Information Theory · Computer Science 2023-07-03 Yihuan Liao , Min Qiu , Jinhong Yuan

Coded computation techniques provide robustness against straggling workers in distributed computing. However, most of the existing schemes require exact provisioning of the straggling behaviour and ignore the computations carried out by…

Information Theory · Computer Science 2021-12-07 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

A Bounded-Degree Low-Rank Parity-Check (BD-LRPC) code is a rank-metric code that admits a parity-check matrix whose support is generated by a set of powers of an element. This specific structure of the parity-check matrix was employed to…

Information Theory · Computer Science 2025-09-17 Hermann Tchatchiem Kamche

Physical layer network coding (PLNC) has the potential to improve throughput of multi-hop networks. However, most of the works are focused on the simple, three-node model with two-way relaying, not taking into account the fact that there…

Information Theory · Computer Science 2016-11-18 Hironori Fukui , Hiroyuki Yomo , Petar Popovski

Recently introduced Fair-Density Parity-Check (FDPC) codes, targeting high-rate applications, offer superior error-correction performance (ECP) compared to 5G Low-Density Parity-Check (LDPC) codes, given the same number of message-passing…

Information Theory · Computer Science 2025-06-16 Mohsen Moradi , Sheida Rabeti , Hessam Mahdavifar

Despite encouraging advances in the design of relay codes, several important challenges remain. Many of the existing LDPC relay codes are tightly optimized for fixed channel conditions and not easily adapted without extensive…

Information Theory · Computer Science 2016-11-18 Thuy Van Nguyen , Aria Nosratinia , Dariush Divsalar

Coded computation techniques provide robustness against straggling servers in distributed computing, with the following limitations: First, they increase decoding complexity. Second, they ignore computations carried out by straggling…

Machine Learning · Computer Science 2018-11-29 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

In any communication network, the maximum number of link-disjoint paths between any pair of communicating nodes, S and T, is limited by the S-T minimum link-cut. Multipath routing protocols have been proposed in the literature to make use…

Networking and Internet Architecture · Computer Science 2009-08-06 Osameh M. Al-Kofahi , Ahmed E. Kamal

In this paper, we propose a decision-aided scheme for parallel SC-List decoding of polar codes. At the parallel SC-List decoder, each survival path is extended based on multiple information bits, therefore the number of split paths becomes…

Information Theory · Computer Science 2015-06-10 Bin Li , Hui Shen , Kai Chen

Pseudocode is extensively used in introductory programming courses to instruct computer science students in algorithm design, utilizing natural language to define algorithmic behaviors. This learning approach enables students to convert…

Computers and Society · Computer Science 2024-10-30 Zhenyu Xu , Kun Zhang , Victor S. Sheng

The concept of spatial coupling is among the most significant breakthroughs in coding theory over the past decade. The excellent waterfall and error floor performance of spatially coupled codes has positioned them as promising coding…

Information Theory · Computer Science 2026-05-13 Min Qiu , Xiaowei Wu , Peng Kang , Lei Yang , Jinhong Yuan

Coded caching is a promising technique to smooth out network traffic by storing part of the library content at the users' local caches. The seminal work on coded caching for single file retrieval by Maddah-Ali and Niesen (MAN) showed the…

Information Theory · Computer Science 2021-05-28 Kai Wan , Hua Sun , Mingyue Ji , Daniela Tuninetti , Giuseppe Caire

We present a novel optimization-based decoding algorithm for LDPC codes that is suitable for hardware architectures specialized to feed-forward neural networks. The algorithm is based on the projected gradient descent algorithm with a…

Information Theory · Computer Science 2019-01-16 Tadashi Wadayama , Satoshi Takabe

We introduce a new variation of Tree Encoding with Nested Intervals, find connections with Materialized Path, and suggest a method for moving parts of the hierarchy.

Databases · Computer Science 2007-05-23 Vadim Tropashko

Satellite networks provide unique challenges that can restrict users' quality of service. For example, high packet erasure rates and large latencies can cause significant disruptions to applications such as video streaming or voice-over-IP.…

Networking and Internet Architecture · Computer Science 2015-06-23 Jason Cloud , Muriel Medard

Staircase is one of the most common structures in artificial scenes. However, it is difficult for humanoid robots and people with lower limb disabilities or visual impairment to cross the scene without the help of sensors and intelligent…

Robotics · Computer Science 2025-08-29 Weifeng Kong , Zhiying Tan

Coded matrix multiplication is a technique to enable straggler-resistant multiplication of large matrices in distributed computing systems. In this paper, we first present a conceptual framework to represent the division of work amongst…

Information Theory · Computer Science 2019-07-23 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

This paper addresses the gradient coding and coded matrix multiplication problems in distributed optimization and coded computing. We present a numerically stable binary coding method which overcomes the drawbacks of the \textit{Fractional…

Information Theory · Computer Science 2025-01-14 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero