Best Known (40−26, 40, s)-Nets in Base 27
(40−26, 40, 96)-Net over F27 — Constructive and digital
Digital (14, 40, 96)-net over F27, using
- t-expansion [i] based on digital (11, 40, 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
(40−26, 40, 136)-Net over F27 — Digital
Digital (14, 40, 136)-net over F27, using
- t-expansion [i] based on digital (13, 40, 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
- net from sequence [i] based on digital (13, 135)-sequence over F27, using
(40−26, 40, 150)-Net in Base 27 — Constructive
(14, 40, 150)-net in base 27, using
- base change [i] based on 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
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
(40−26, 40, 154)-Net in Base 27
(14, 40, 154)-net in base 27, using
- base change [i] based on 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
- net from sequence [i] based on digital (4, 153)-sequence over F81, using
(40−26, 40, 5522)-Net in Base 27 — Upper bound on s
There is no (14, 40, 5523)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 1800 062360 980342 014304 504183 282214 777791 277329 469984 749303 > 2740 [i]