[MCA] Route KoalaBear rank-eleven rank-one pair anticodes - #1171
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scottdhughes wants to merge 38 commits into
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[MCA] Route KoalaBear rank-eleven rank-one pair anticodes#1171scottdhughes wants to merge 38 commits into
scottdhughes wants to merge 38 commits into
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This was referenced Aug 15, 2026
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Summary
Stacked successor to #1168 (exact parent
6a5dcdae1591fc7f044eda6a942bfe178521a48c).This adds a source-level cross-pair theorem for the post-near affine-error-rank-11 minimizing-pair family. Writing each actual minimizing pair as a
2 x scoefficient matrix (s <= 10), every pairwise-rank-one family is classified into exactly the two bilinear-forms clique geometries:Pairwise complete-core overlap
K-1automatically enters this branch by the Reed--Solomon two-polynomial common-root bound.The fixed-right branch is paid uniformly over every possible universal core. A hostile scope audit caught that the parent complete-ray theorem could not be imported directly when the base minimizing pair leaves identically zero coordinate errors. The repaired common-core-aware affine-ray count scans all
1,048,576legal core sizes and has exact maximum8,147,918at universal coreK-1, leaving slack274,980,728,103,247,169.For the fixed-left branch, the proper affine-hyperplane arrangement has at most
floor(C(n,r+1)/C(m,r+1)) <= 1,031selected slopes for0 <= r <= 10. Failure of properness emits an explicit positive-dimensional affine-linear correction component rather than an untyped pair-core terminal.Scope
This removes maximal-overlap pair-core cliques as an unstructured terminal. The residual consists of rank-two pair differences or the emitted positive-dimensional affine-linear correction component.
Verification
7190997f4e6e464ce41aa3c8389968985686604ad81e9b272ca7c07130d323a5Mat_{2 x 2}(GF(3))maximal-clique control: PASS<3GF(5)common-root control: PASS1,048,576-core affine-ray scan: PASSDependency and residual
This PR must integrate after #1168. The source theorem is supplied as an explicit integration fragment; no active source or ledger insertion is claimed.
The strongest next joint after this packet is an aggregate theorem for collections containing rank-two pair differences, or a payment/classification theorem for the emitted degree-one positive-dimensional correction component.
Branch and commit
scottdhughes:codex/kb-mca-rank11-rank-one-anticode-post-1168a3fc2d5aea86577cd50d8b95b6eb2155d4d940f66a5dcdae1591fc7f044eda6a942bfe178521a48c