Earlier quoted context omitted.
I'm sure there are simpler ways to explain it, I'm new to the topic, sorry if you didn't like it.
Well it might not be the most in depth explanation, but your enthusiasm is appreciated, and contagious too. I'm down the Wikipedia rabbit hole too, now.
Reed Solomon codes are cool
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Re: Reed Solomon codes are cool
#22Re: Reed Solomon codes are cool
#23People don't realise how ubiquitous different forms of encoding schemes are (I am leaving out compression/decompression schemes altogether here, but it has always amazed me as to what profound impact Information Theory has, and yet it is so out of the way):
Forward error-correction codes (FEC) at L2: IBM's elegant 8b/10b encoding https://en.wikipedia.org/wiki/8b/10b_encoding used in pre-10g era Ethernet, and its successor 64b/66b https://en.wikipedia.org/wiki/64b/66b_encoding used in post-10g era Ethernet / Infiniband / RoCE, and the sister 128b/132b encoding used by PCI-e 3 and USB 3 standards.
Linear error-correcting codes (LEC) for Volatile Memory: https://en.wikipedia.org/wiki/Hamming_code
FEC for HD Voice Transmission over Cellular Networks: AMR used in 3G and VoIP https://en.wikipedia.org/wiki/Adaptive_Multi-Rate_audio_code... and AMR WB for VoLTE aka HD Voice: https://en.wikipedia.org/wiki/Adaptive_Multi-Rate_Wideband
Fountain Codes for Digital TV on Mobile (DVB-H): Qualcomm's Raptors https://en.wikipedia.org/wiki/Raptor_code
Turbo Codes for 3G/4G Connectivity (OFDM), Satellite communication: https://en.wikipedia.org/wiki/Turbo_code
Optimal Erasure Coding (for data at rest, and for Mobile TV, and for 3G/4G): Reed-Solomon and its variants are a clear winner here (used by dropbox https://blogs.dropbox.com/tech/2016/07/pocket-watch/ and rumored to have been used by S3 https://perspectives.mvdirona.com/2009/06/erasure-coding-and... )
Upcoming: https://en.wikipedia.org/wiki/Low-density_parity-check_code LDPC codes are recommended for use by data-channel in 5G replacing Reed-Solomon whilst Polar Codes are adopted for the control-channel in 5G https://en.wikipedia.org/wiki/Polar_code_(coding_theory)
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Re: Reed Solomon codes are cool
#24Earlier quoted context omitted.
I'm sure there are simpler ways to explain it, I'm new to the topic, sorry if you didn't like it.
The explanation from BackBlaze that you linked to goes into more depth. It looks to be built on matrix algebra. Kinda nifty how simple and elegant the underlying concept is, really. Reminds me of the surprising conceptual simplicity behind Diffie-Hellman.
Re: Reed Solomon codes are cool
#25That backblaze speed quoted seems really slow.
Re: Reed Solomon codes are cool
#26Re: Reed Solomon codes are cool
#27I do use it in LibreDWG, but I don't find it cool or useful enough. For CD's or WiFi with lossy transports yes, but for harddiscs (bitflips don't happen) not needed and not so easy to plug in.
Re: Reed Solomon codes are cool
#28Evan back with old analog TV broadcasts, if there was a signal issue, the picture would just get fuzzy. Now with HDTV, the picture goes away completely.
I know a lot of this has to do with analog formats being highly inefficient and thus having lots of redundancy.
Re: Reed Solomon codes are cool
#29You know what? Not just Reed-Solomon codes, but Information Theory is cool. People don't realise how ubiquitous different forms of encoding schemes are (I am leaving out compression/decompression schemes altogether here, but it has always amazed me as to what profound impact Information Theory has, and yet it is so out of the way): Forward error-correction codes (FEC) at L2: IBM's elegant 8b/10b encoding https://en.w…
Re: Reed Solomon codes are cool
#30You know what? Not just Reed-Solomon codes, but Information Theory is cool. People don't realise how ubiquitous different forms of encoding schemes are (I am leaving out compression/decompression schemes altogether here, but it has always amazed me as to what profound impact Information Theory has, and yet it is so out of the way): Forward error-correction codes (FEC) at L2: IBM's elegant 8b/10b encoding https://en.w…
Are any of the ones that are better than Reed-Solomon either open-source or otherwise out of patent protection yet? A library I could play with, perhaps? (would love to get my hands on a Raptor or Turbo implementation)
In terms of turbo codes, I think the CCSDS turbo code is out of patent, at least 5,446,747 has been expired for over 5 years.