Results 11 to 20 of about 523,662 (284)

On Design and Efficient Decoding of Sparse Random Linear Network Codes

open access: yesIEEE Access, 2017
While random linear network coding is known to improve network reliability and throughput, its high costs for delivering coding coefficients and decoding represent an obstacle where nodes have limited power to transmit and decode packets.
Ye Li, Wai-Yip Chan, Steven D. Blostein
doaj   +3 more sources

Convolutional Codes in Rank Metric with Application to Random Network Coding [PDF]

open access: yesIEEE Transactions on Information Theory, 2015
Random network coding recently attracts attention as a technique to disseminate information in a network. This paper considers a non-coherent multi-shot network, where the unknown and time-variant network is used several times.
Sidorenko, Vladimir   +2 more
core   +3 more sources

Random Shortening of Linear Codes and Applications

open access: yes, 2023
Random linear codes (RLCs) are well known to have nice combinatorial properties and near-optimal parameters in many different settings. However, getting explicit constructions matching the parameters of RLCs is challenging, and RLCs are hard to decode efficiently.
Chen, Xue   +3 more
openaire   +2 more sources

Design and Analysis of Systematic Batched Network Codes

open access: yesEntropy, 2023
Systematic codes are of important practical interest for communications. Network coding, however, seems to conflict with systematic codes: although the source node can transmit message packets, network coding at the intermediate network nodes may ...
Licheng Mao   +3 more
doaj   +1 more source

Twisted Hermitian Codes

open access: yesMathematics, 2020
We define a family of codes called twisted Hermitian codes, which are based on Hermitian codes and inspired by the twisted Reed–Solomon codes described by Beelen, Puchinger, and Nielsen. We demonstrate that these new codes can have high-dimensional Schur
Austin Allen   +6 more
doaj   +1 more source

Linear Codes Arise From New Complete (n,r)-arcs in PG(2,29) [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2009
This paper presents the recently-discovered linear [n,3,d] codes over PG(2,29) that arises from a complete (n,r)-arcs which the paper[12] presented it for the first time.
Shuaa Aziz
doaj   +1 more source

Reliability of Multicast Under Random Linear Network Coding [PDF]

open access: yesIEEE Transactions on Communications, 2018
To appear on IEEE Transactions on ...
Evgeny Tsimbalo   +2 more
openaire   +4 more sources

Investigating Random Linear Coding from a Pricing Perspective [PDF]

open access: yesEntropy, 2018
In this paper, we study the implications of using a form of network coding known as Random Linear Coding (RLC) for unicast communications from an economic perspective by investigating a simple scenario, in which several network nodes, the users, download files from the Internet via another network node, the sender, and the receivers as users pay a ...
Hailing Zhu, Khmaies Ouahada
openaire   +3 more sources

Multi-block Two Repeated Fixed Burst Error Correcting Linear Codes

open access: yesRatio Mathematica, 2022
During the digital transmission of information, errors are bound to occur. The errors may be random or burst errors. In this paper, we have obtained necessary and sufficient conditions for the existence of linear codes over  that are capable of ...
Ritu Arora   +3 more
doaj   +1 more source

Hadamard Aperiodic Interval Codes for Parallel-Transmission 2D and 3D Synthetic Aperture Ultrasound Imaging

open access: yesApplied Sciences, 2022
We present a new set of near orthogonal codes which we call Hadamard Aperiodic Interval (HAPI) codes and demonstrate their utility for parallel multi-transmitter synthetic aperture imaging. The codes are tri-state and sparse.
Tarek Kaddoura, Roger J. Zemp
doaj   +1 more source

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