Best Known (32, 66, s)-Nets in Base 27
(32, 66, 166)-Net over F27 — Constructive and digital
Digital (32, 66, 166)-net over F27, using
- (u, u+v)-construction [i] based on
- digital (7, 24, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- digital (8, 42, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- digital (7, 24, 82)-net over F27, using
(32, 66, 224)-Net in Base 27 — Constructive
(32, 66, 224)-net in base 27, using
- 10 times m-reduction [i] based on (32, 76, 224)-net in base 27, using
- base change [i] based on digital (13, 57, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- base change [i] based on digital (13, 57, 224)-net over F81, using
(32, 66, 384)-Net over F27 — Digital
Digital (32, 66, 384)-net over F27, using
(32, 66, 99539)-Net in Base 27 — Upper bound on s
There is no (32, 66, 99540)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 29517 532152 801614 091677 559816 839988 420554 520951 492558 570162 462747 782794 878973 432978 204565 577353 > 2766 [i]