Best Known (91−67, 91, s)-Nets in Base 25
(91−67, 91, 148)-Net over F25 — Constructive and digital
Digital (24, 91, 148)-net over F25, using
- t-expansion [i] based on digital (19, 91, 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
(91−67, 91, 184)-Net over F25 — Digital
Digital (24, 91, 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
(91−67, 91, 3544)-Net in Base 25 — Upper bound on s
There is no (24, 91, 3545)-net in base 25, because
- 1 times m-reduction [i] would yield (24, 90, 3545)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 654057 947037 096818 001548 355701 254007 845229 005185 562736 152290 278857 790605 423366 496187 801237 937783 123916 162016 360902 254702 586713 > 2590 [i]