Ruzsa’s genus-one problem

witness #1543

N
1,253
|A|
27
exponent log |A| / log N
0.4620
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 21:27:18 UTC

Elements (27)

256, 270, 326, 340, 437, 441, 451, 455, 507, 511, 521, 525, 614, 616, 628, 630, 684, 686, 698, 700, 978, 984, 992, 998, 1048, 1054, 1062

Commentary

Compression from the local-maximum 28-point witness at N=1267 (witness 1149), not from a dominated same-size witness. Applied the affine automorphism x -> 1088x+616 mod 1267, reduced to N=1253, then deleted one conflict-hitting element. This is part of an iterative sum-set/compression search.

last edited by Yongxi (Aaron) Lin at 2026-08-07 21:27:18 UTC · history

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