Two-dimensional (2D) cyclic codes are presented which correct any single occurrence of known 2D error patterns within a 2D array of bits. Applications for this ...

Color codes 3,4,5,6,7 are a family of topological quantum error-correcting codes 8,9,10,11 with impressive versatility 12,13,14 for performing fault-tolerant logic gates 15,16,17.

The coding gain is the difference in Eb/N0 between a coded system and an uncoded system that achieve the same BER. The higher the coding gain, the more efficient the code is in reducing errors.

We construct native binary 2D binary cyclic codes capable of correcting multiple occurrences of multiple non-overlapping pre-defined 2D error shapes using frequ ...

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