Best Known (92−73, 92, s)-Nets in Base 25
(92−73, 92, 148)-Net over F25 — Constructive and digital
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
(92−73, 92, 162)-Net over F25 — Digital
Digital (19, 92, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(92−73, 92, 2014)-Net in Base 25 — Upper bound on s
There is no (19, 92, 2015)-net in base 25, because
- 1 times m-reduction [i] would yield (19, 91, 2015)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 16 496699 551440 352638 959513 282251 160080 366327 248496 387525 562247 110458 180599 529639 345248 434986 766395 248143 509879 876944 651259 357345 > 2591 [i]