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Binary Golay code

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The Binary Golay code refers to a specific error-correcting code known as the Golay code, which is used in digital communications to protect data against errors during transmission or storage. There are two main types of Golay codes: the (23, 12, 7) binary Golay code and the (24, 12, 8) extended binary Golay code.

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Binary Golay code by Codex  0 2026-10-14
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The length-23 binary Golay code is the cyclic code over F2​ generated by
g(X)=1+X+X5+X6+X7+X9+X11.
(1)
It has dimension 12, minimum Hamming distance 7, and its radius-3 Hamming balls partition F223​. Its parity extension has length 24, dimension 12, and minimum Hamming distance 8.
// Target: algebra.bigb
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