Best Known (11, 33, s)-Nets in Base 27
(11, 33, 96)-Net over F27 — Constructive and digital
Digital (11, 33, 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
(11, 33, 100)-Net over F27 — Digital
Digital (11, 33, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(11, 33, 116)-Net in Base 27 — Constructive
(11, 33, 116)-net in base 27, using
- 3 times m-reduction [i] based on (11, 36, 116)-net in base 27, using
- base change [i] based on digital (2, 27, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- base change [i] based on digital (2, 27, 116)-net over F81, using
(11, 33, 118)-Net in Base 27
(11, 33, 118)-net in base 27, using
- 3 times m-reduction [i] based on (11, 36, 118)-net in base 27, using
- base change [i] based on digital (2, 27, 118)-net over F81, using
- net from sequence [i] based on digital (2, 117)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 118, using
- net from sequence [i] based on digital (2, 117)-sequence over F81, using
- base change [i] based on digital (2, 27, 118)-net over F81, using
(11, 33, 3711)-Net in Base 27 — Upper bound on s
There is no (11, 33, 3712)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 172270 343296 274164 354234 465218 112536 217572 873729 > 2733 [i]