Best Known (4, 4+26, s)-Nets in Base 81
(4, 4+26, 150)-Net over F81 — Constructive and digital
Digital (4, 30, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
(4, 4+26, 154)-Net over F81 — Digital
Digital (4, 30, 154)-net over F81, using
- net from sequence [i] based on digital (4, 153)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 154, using
(4, 4+26, 1790)-Net in Base 81 — Upper bound on s
There is no (4, 30, 1791)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 1800 989078 288121 759346 751045 022518 401879 225695 526296 185841 > 8130 [i]