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"seeds": [ 4101 ] } } }, "provenance": { "authors": [ "@vprusso" ], "construction": "Two-block group algebra (2BGA) code over the non-abelian metacyclic group C_12 semidirect_5 C_28 of order 336: H_X=[Lm(a)|Rm(b)], H_Z=[Rm(b)^T|Lm(a)^T] from the left and right regular representations, which commute for any group so the CSS condition holds without G abelian. Element (i,j) = x^i y^j indexed as i*28+j, with (i1,j1)(i2,j2) = (i1 + i2*5^j1 mod 12, j1+j2 mod 28). a = {0,83,302}, b = {0,141,207}. Construction of arXiv:2306.16400 applied past that paper's Table 1 range; the builder reproduces the board's [[540,12,28]] on C_9 semidirect C_30 exactly, including recovering that entry's unstated element index convention from the data.", "origin": "submission", "date": "2026-09-08", "model": "Claude Opus 5" }, "family": "2bga-coset" }