witness #2260

N: 33,250
|A|: 125
exponent log |A| / log N: 0.4637

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-09 23:37:56 UTC

Elements (125)

0, 5, 538, 540, 543, 545, 798, 799, 803, 1340, 1863, 2128, 2138, 2660, 2670, 3193, 3195, 3203, 3459, 3469, 4794, 4798, 4799, 5855, 5865, 13325, 13330, 13350, 13355, 13863, 13865, 13868, 13870, 13888, 13890, 13893, 13895, 14123, 14124, 14128, 14148, 14149, 14153, 14665, 14690, 15188, 15213, 15453, 15463, 15478, 15488, 15985, 15995, 16010, 16020, 16518, 16520, 16528, 16543, 16545, 16553, 16784, 16794, 16809, 16819, 18119, 18123, 18124, 18144, 18148, 18149, 19180, 19190, 19205, 19215, 19950, 19955, 20000, 20005, 20488, 20490, 20493, 20495, 20538, 20540, 20543, 20545, 20748, 20749, 20753, 20798, 20799, 20803, 21290, 21340, 21813, 21863, 22078, 22088, 22128, 22138, 22610, 22620, 22660, 22670, 23143, 23145, 23153, 23193, 23195, 23203, 23409, 23419, 23459, 23469, 24744, 24748, 24749, 24794, 24798, 24799, 25805, 25815, 25855, 25865

Commentary

From the dense N=3750 seed: extract its 25-point exact core (24 +25 pairs plus one singleton), rotate to its optimal span-13 vertical coordinate w=u, then 5-adically fiber-lift by the exact five-point code H={(0,0),(2,1),(2,2),(3,0),(3,2)}. With horizontal h=v+3u, this gives a 125-point exact code modulo 125; the span bound makes the embedding valid for every q>=253. This is the q=266 member, N=33250.

last edited by Yongxi (Aaron) Lin at 2026-08-09 23:37:56 UTC · history