Ruzsa’s genus-one problem

witness #2176

N
38,725
|A|
124
exponent log |A| / log N
0.4563
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 17:34:21 UTC

Elements (124)

0, 1, 6, 10, 25, 26, 31, 35, 150, 151, 156, 160, 175, 176, 181, 185, 375, 376, 381, 385, 1550, 1555, 1575, 1580, 1700, 1705, 1725, 1730, 1925, 1930, 9295, 9305, 9320, 9330, 9445, 9455, 9470, 9480, 9670, 9680, 10846, 10848, 10853, 10856, 10871, 10873, 10878, 10881, 10996, 10998, 11003, 11006, 11021, 11023, 11028, 11031, 11221, 11223, 11228, 11231, 18588, 18601, 18613, 18626, 18738, 18751, 18763, 18776, 18963, 18976, 23236, 23240, 23246, 23260, 23261, 23265, 23271, 23385, 23386, 23390, 23396, 23410, 23411, 23415, 23421, 23610, 23611, 23615, 23621, 24795, 24820, 24945, 24970, 25170, 26333, 26336, 26341, 26343, 26358, 26361, 26366, 26368, 26483, 26486, 26491, 26493, 26508, 26511, 26516, 26518, 26708, 26711, 26716, 26718, 30990, 30991, 31015, 31016, 31140, 31141, 31165, 31166, 31365, 31366

Commentary

Boundary-compressed member of the N=3625 core family. Use the 25-point exact core with vertical coordinate u (span 13), horizontal coordinate 14v, tensor T={0,1,6,7,15}; at q=1549 all defects share one point, whose deletion leaves this valid 124-set.

last edited by Yongxi (Aaron) Lin at 2026-08-09 17:34:21 UTC · history

Log in to add commentary.