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Pure-Python Reed Solomon encoder/decoder

Project description

A pure-python Reed Solomon encoder/decoder, based on the wonderful tutorial at wikiversity, written by “Bobmath”.

I only consolidated the code a little and added exceptions and a simple API. To my understanding, the algorithm can correct up to nsym/2 of the errors in the message, where nsym is the number of bytes in the error correction code (ECC). The code should work on pretty much any reasonable version of python (2.4-3.2), but I’m only testing on 2.6-3.2.

>>> rs = RSCodec(10)
>>> rs.encode([1,2,3,4])
b'\x01\x02\x03\x04,\x9d\x1c+=\xf8h\xfa\x98M'
>>> rs.encode(b'hello world')
b'hello world\xed%T\xc4\xfd\xfd\x89\xf3\xa8\xaa'
>>> rs.decode(b'hello world\xed%T\xc4\xfd\xfd\x89\xf3\xa8\xaa')
b'hello world'
>>> rs.decode(b'heXlo worXd\xed%T\xc4\xfdX\x89\xf3\xa8\xaa')     # 3 errors
b'hello world'
>>> rs.decode(b'hXXXo worXd\xed%T\xc4\xfdX\x89\xf3\xa8\xaa')     # 5 errors
b'hello world'
>>> rs.decode(b'hXXXo worXd\xed%T\xc4\xfdXX\xf3\xa8\xaa')        # 6 errors - fail
Traceback (most recent call last):
  ...
ReedSolomonError: Could not locate error

>>> rs = RSCodec(12)
>>> rs.encode(b'hello world')
b'hello world?Ay\xb2\xbc\xdc\x01q\xb9\xe3\xe2='
>>> rs.decode(b'hello worXXXXy\xb2XX\x01q\xb9\xe3\xe2=')         # 6 errors - ok
b'hello world'

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