Best Known (92−68, 92, s)-Nets in Base 25
(92−68, 92, 148)-Net over F25 — Constructive and digital
Digital (24, 92, 148)-net over F25, using
- t-expansion [i] based on digital (19, 92, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(92−68, 92, 184)-Net over F25 — Digital
Digital (24, 92, 184)-net over F25, using
- net from sequence [i] based on digital (24, 183)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 24 and N(F) ≥ 184, using
(92−68, 92, 3401)-Net in Base 25 — Upper bound on s
There is no (24, 92, 3402)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 410 633166 525104 666003 009916 512916 865100 248491 488487 599509 390758 507302 272311 355953 005414 359602 400759 009172 215650 544110 315301 278625 > 2592 [i]