In general, quantum error correcting codes defined on two-dimensional spin lattices according to the principles above are known as surface codes
22.
Typically, a semiconductor memory design might use forward error correction, incorporating redundant data into each word to create an error correcting code.
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When using Niederreiter, or in fact any cryptosystem based on error correcting codes, the second step in the signature scheme almost always fails.
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Error correcting codes, techniques for correcting errors in data sent across noisy channels, are used in everything from cell phones to compact discs.
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An unrelated question : Dell's site offers RAM with error correcting code ( ECC ) and without ( non-ECC ), ECC being more expensive.
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So, hamming code is a single error correcting code over GF ( 2 ) with n = 2 ^ m-1 and k = n-m.
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The first three words are always the same 0x3FF, 0, 0; the fourth consists of 3 flag bits, along with an error correcting code.
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Other error correcting codes have also been implemented, such as one aimed at correcting for photon loss, the dominant error source in photonic qubit schemes.
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Unless I'm mistaken this is the called decoding problem for linear error correcting codes .-- talk ) 17 : 03, 15 April 2016 ( UTC)
30.
The Gorenstein-Zierler decoder and the related work on BCH codes are described in a book Error Correcting Codes by W . Wesley Peterson ( 1961 ).
