Information transfer can prevent errors {error prevention}. For fewest errors, strings and blocks are approximately same length.
Extra bits {check bit} in bytes can be for detecting message errors. Check bits are independent.
Coding methods {error correction} can correct errors automatically. Error-correcting code can perform same operation three times and use majority result.
Ordered parity-check series, using parity bits for overlapping strings, can find error positions {Hamming code}. Programs can check strings at all positions. For position errors, programs add 1 at position.
Error checking {logical sum checking} can find logical sum of bits.
Error checking {parity checking}| can compare check bit to sum of other bits. Parity checks have order {syndrome, parity}, typically by position.
Error-correcting codes {rectangular code} can code message in arrays, with check bits for rows and columns. The same check bit can be for row and column {triangular code}. Three-dimensional arrays can have line check bits {cubic code}. Codes with higher dimension are better for error prevention.
Parity checking {Reed-Solomon code} can use Galois field theory.
Symbols {source symbol} added to predicted symbols in messages can make error codes. Source symbol adds to predicted symbol at receiving end, to generate original string, which will be correct even if prediction is in error.
Error checking {weighted check sum} can use bit frequencies.
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Date Modified: 2022.0225