Best Known (102−77, 102, s)-Nets in Base 25
(102−77, 102, 200)-Net over F25 — Constructive and digital
Digital (25, 102, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
(102−77, 102, 3232)-Net in Base 25 — Upper bound on s
There is no (25, 102, 3233)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 101, 3233)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1572 471287 495526 047499 117750 576433 682364 833551 253038 772732 967819 956789 114040 134100 257760 784312 765532 528612 721069 127299 901718 551236 495583 999825 > 25101 [i]