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===================================
Test of BCH encoder/decoder
===================================
A two error case (should be corrected)
input = [0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0]
encoded = [0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0]
err = [0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0]
decoded = [0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0]
A three error case (will cause decoding errors)
input = [1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0]
encoded = [1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0]
err = [1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0]
decoded = [1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0]
========================================
Systematic vs. non-systematic test
========================================
Non-systematic case
-------------------
Encoded [0 0 0 0] to [0 0 0 0 0 0 0]
One error added: [1 0 0 0 0 0 0]
Decoded to:[0 0 0 0]
Encoded [0 0 0 1] to [0 0 0 1 0 1 1]
One error added: [0 1 0 1 0 1 1]
Decoded to:[0 0 0 1]
Encoded [0 0 1 0] to [0 0 1 0 1 1 0]
One error added: [0 0 0 0 1 1 0]
Decoded to:[0 0 1 0]
Encoded [0 0 1 1] to [0 0 1 1 1 0 1]
One error added: [0 0 1 0 1 0 1]
Decoded to:[0 0 1 1]
Encoded [0 1 0 0] to [0 1 0 1 1 0 0]
One error added: [0 1 0 1 0 0 0]
Decoded to:[0 1 0 0]
Encoded [0 1 0 1] to [0 1 0 0 1 1 1]
One error added: [0 1 0 0 1 0 1]
Decoded to:[0 1 0 1]
Encoded [0 1 1 0] to [0 1 1 1 0 1 0]
One error added: [0 1 1 1 0 1 1]
Decoded to:[0 1 1 0]
Systematic case
---------------
Encoded [0 0 0 0] to [0 0 0 0 0 0 0]
One error added: [1 0 0 0 0 0 0]
Decoded to:[0 0 0 0]
Encoded [0 0 0 1] to [0 0 0 1 0 1 1]
One error added: [0 1 0 1 0 1 1]
Decoded to:[0 0 0 1]
Encoded [0 0 1 0] to [0 0 1 0 1 1 0]
One error added: [0 0 0 0 1 1 0]
Decoded to:[0 0 1 0]
Encoded [0 0 1 1] to [0 0 1 1 1 0 1]
One error added: [0 0 1 0 1 0 1]
Decoded to:[0 0 1 1]
Encoded [0 1 0 0] to [0 1 0 0 1 1 1]
One error added: [0 1 0 0 0 1 1]
Decoded to:[0 1 0 0]
Encoded [0 1 0 1] to [0 1 0 1 1 0 0]
One error added: [0 1 0 1 1 1 0]
Decoded to:[0 1 0 1]
Encoded [0 1 1 0] to [0 1 1 0 0 0 1]
One error added: [0 1 1 0 0 0 0]
Decoded to:[0 1 1 0]
========================================
Systematic decoding failure test
========================================
all codewords valid? 0
valid codeword? = [0]
A four error case (will cause decoding failure)
input = [1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0]
encoded = [1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0]
err = [1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0]
decoded = [1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0]
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