Reed-Solomon Forward Error Correction (FEC) Schemes
Abstract
This document describes a Fully-Specified FEC scheme for the Reed- Solomon forward error correction code and its application to the reliable delivery of data objects on the packet erasure channel. Reed-Solomon codes belong to the class of Maximum Distance Separable (MDS) codes, i.e. they enable a receiver to recover the k source symbols from any set of k received symbols. The implementation described here is compatible with the implementation from Luigi Rizzo.
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“Maximum- Distance Separable (MDS) codes, such as Reed-Solomon codes [6], can recover all missing packets from any set of exactly k packets, while LDPC (Low Density Parity Check) codes [8] need to receive a small number of extra packets in addition to k.”
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“…namely the pre-computing of the generator matrix (GM) of the code, followed by the multiplication of the source vector by the GM. Equation (2) represents the total computational complexity of the encoding per element [18], where k represents the rows and n represents the columns of the GM matrix.”
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“[6] Lacan, J.”
InfluentialAccelerating Transmission of Streaming Files Based on AL-FEC Protection Blocks
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“Although the streaming file delivery method is mainly designed for fountain codes such as Raptor codes and RaptorQ codes [18], other AL-FEC codes such as LDPC codes [19], RS codes [20], or other AL-FEC codes defined by IETF can also be supported with special implementation considerations.”
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Meng, Z., & Xu, M. (2024) · SpringerBriefs in computer science · doi:10.1007/978-981-97-6729-8_6
- Authors
- Lacan, J., Roca, V., Peltotalo, J., & Peltotalo, S.
- Publisher
- RFC Editor
- Published
- 2009-04
- OpenAlex
- W1954744490
- Semantic Scholar
- 89bf101360d61c50a1a510024f2b317ff21f42c6
- Cited by
- 74
- References
- 16
- Citations by year
- 2024: 3 · 2023: 3 · 2022: 1 · 2021: 5 · 2020: 1 · 2019: 3 · 2017: 4 · 2016: 7 · 2015: 4 · 2014: 8 · 2013: 11 · 2012: 9
- Type
- report
- Language
- en
- Open access
- closed
- Topics
- Physical Sciences › Computer Science › Computer Networks and Communications › Error Correcting Code Techniques
- Physical Sciences › Computer Science › Artificial Intelligence › Coding theory and cryptography
- Physical Sciences › Computer Science › Computer Networks and Communications › Advanced Data Storage Technologies
- Keywords
- Reed-Solomon codes, forward error correction, MDS codes, packet erasure channels, reliable data delivery, error recovery
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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