Best Known (59−46, 59, s)-Nets in Base 27
(59−46, 59, 96)-Net over F27 — Constructive and digital
Digital (13, 59, 96)-net over F27, using
- t-expansion [i] based on digital (11, 59, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
(59−46, 59, 136)-Net over F27 — Digital
Digital (13, 59, 136)-net over F27, using
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 13 and N(F) ≥ 136, using
(59−46, 59, 1691)-Net in Base 27 — Upper bound on s
There is no (13, 59, 1692)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 2 850404 161503 394892 760803 273304 711547 459657 760210 912040 349159 580876 551176 286812 467505 > 2759 [i]