witness #1828

N: 16,975
|A|: 100
exponent log |A| / log N: 0.4728

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 18:04:17 UTC

Elements (100)

248, 263, 265, 273, 288, 290, 373, 388, 390, 398, 413, 415, 929, 954, 1054, 1079, 2298, 2323, 2423, 2448, 3660, 3685, 3785, 3810, 4324, 4345, 4349, 4370, 4449, 4470, 4474, 4495, 5688, 5713, 5813, 5838, 7045, 7048, 7070, 7073, 7170, 7173, 7195, 7198, 7724, 7749, 7849, 7874, 9093, 9118, 9218, 9243, 10445, 10470, 10570, 10595, 11129, 11130, 11135, 11154, 11155, 11160, 11254, 11255, 11260, 11279, 11280, 11285, 12488, 12513, 12613, 12638, 13835, 13838, 13843, 13860, 13863, 13868, 13960, 13963, 13968, 13985, 13988, 13993, 14514, 14515, 14525, 14539, 14540, 14550, 14639, 14640, 14650, 14664, 14665, 14675, 15873, 15898, 15998, 16023

Commentary

Corrected exact continuation of the 25-block core construction A=P+25*{0,1,5,6}. The first local checker incorrectly collapsed multiple pair representations; this candidate was rerun with exact collision tracking. Starting from N=17000, greedy inherited-block selection/refill reached 23 blocks and whole-block shakes found a valid 25-block, 100-point code.

last edited by Yongxi (Aaron) Lin at 2026-08-08 18:04:18 UTC · history