projective-codes

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tretoef-estrella / HUNT-FOR-DISTANCE-13

Computational search for the [22,6,13]₄ linear code over GF(4) — a 25-year open problem in coding theory. Record excess E*=1. 441+ programs, 2.5B+ evaluations, 8 structural theorems including the Freedom Theorem, the Distance Theorem, and the Residual Reduction to [9,5,4]₄. Proyecto Estrella, Madrid.

computational-mathematics finite-fields coding-theory integer-programming combinatorial-optimization projective-geometry linear-codes gf4 open-problem macwilliams-identities projective-codes

Updated Jun 21, 2026
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