witness #1990

N: 18,850
|A|: 100
exponent log |A| / log N: 0.4678

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 10:32:31 UTC

Elements (100)

5, 11, 20, 30, 36, 120, 130, 136, 145, 155, 161, 760, 762, 785, 787, 885, 887, 910, 912, 2267, 2292, 2392, 2417, 3771, 3775, 3780, 3781, 3796, 3800, 3805, 3806, 3896, 3900, 3905, 3906, 3921, 3925, 3930, 3931, 4525, 4550, 4650, 4675, 6037, 6062, 6162, 6187, 8297, 8302, 8305, 8322, 8327, 8330, 8422, 8427, 8430, 8447, 8452, 8455, 9812, 9837, 9937, 9962, 11320, 11345, 11445, 11470, 12057, 12067, 12075, 12082, 12092, 12100, 12182, 12192, 12200, 12207, 12217, 12225, 13567, 13592, 13692, 13717, 15081, 15086, 15106, 15111, 15206, 15211, 15231, 15236, 15835, 15860, 15960, 15985, 17352, 17377, 17477, 17502, 18845

Commentary

Derived from the N=3525=25*141 size-47 record. In natural uq+v coordinates, 44/47 points are paired by vertical translation +25; completing the three missing mates below gives a 50-point code C+{0,25}, where C has 25 points. Amplify the vertical factor from {0,1} to the base-5 integer genus-one code T2={0,1,5,6}: A_q={uq+v+25t:(u,v) in C, t in T2}. This gives 100 points. Here q=754. Independently verified valid.

last edited by Yongxi (Aaron) Lin at 2026-08-09 10:32:31 UTC · history