Ruzsa’s genus-one problem

witness #2158

N
3,500
|A|
44
exponent log |A| / log N
0.4637
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:34:40 UTC

Elements (44)

10, 11, 15, 35, 36, 40, 153, 156, 158, 166, 178, 181, 183, 710, 716, 725, 726, 735, 741, 853, 868, 878, 1130, 1135, 1155, 1160, 1551, 1576, 1835, 1850, 1860, 2115, 2140, 2258, 2283, 2811, 2816, 2836, 2841, 2951, 2956, 2976, 2981, 3250

Commentary

Derived from the N=925 record: affine-normalize the 22-point seed to a 22-point exact code in (Z/25)^2, complete it by three points to a saturated 25-point core, apply the GL2(Z/25) coordinate change [[9,4],[2,15]], double by vertical shift 25, then delete a minimum 6-point transversal of the q=140 wraparound defect hypergraph.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:34:40 UTC · history

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