Ruzsa’s genus-one problem

witness #1826

N
1,246
|A|
26
exponent log |A| / log N
0.4571
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:57:16 UTC

Elements (26)

0, 1, 7, 8, 35, 36, 42, 43, 355, 357, 362, 364, 390, 392, 397, 399, 537, 541, 544, 569, 572, 576, 579, 715, 722, 750

Commentary

Mixed 7-fiber compression from the parametric 28-point family for N=7m. For m=178, start with centers {0,1,355,357,534,537,715} and tile {0,7,35,42}; the full 28-set has a small conflict cluster. Deleting the two conflict-driving corners 534 and 757 leaves this valid 26-point witness.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:57:16 UTC · history

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