From the N=3525 record (47 points), write N=25q with q=141. In the natural uq+v coordinates, 44/47 points form pairs separated by 25; completing the three missing partners gives a 50-point code C+25{0,1}, where C is a 25-point core. The core has the stronger property that the only solutions to the genus-one relation in (Z/25Z)^2 are diagonal, so it can be amplified by the base-5 integer code T2={0,1,5,6}: A_q={uq+v+25t:(u,v) in C,t in T2}. The vertical width is 168, hence this 100-point family is valid for every q>=673 (and exceptionally q=669). This submission is q=750.
Yongxi (Aaron) Lin · 2026-08-09 10:30:15 UTC