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Your Random Code Pick: \(q\)-ary parity-check code

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An \([n,n-1,2]_q\) linear \(q\)-ary code whose codewords consist of the message string appended with a parity-check or zero-sum check digit such that the sum over all coordinates of each codeword is zero.

Stats at a glance: 969 code entries, 16 kingdoms, 3 domains, 400 classical codes, 532 quantum codes, 12 c-q codes, 72 topological codes, 148 quantum LDPC codes, 20 dynamically generated codes, 151 CSS codes, and 66 bosonic codes.
Error correction zoo by Victor V. Albert, Philippe Faist, and many contributors. This work is licensed under a CC-BY-SA License. See how to contribute.