Best Known (21−14, 21, s)-Nets in Base 27
(21−14, 21, 82)-Net over F27 — Constructive and digital
Digital (7, 21, 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
(21−14, 21, 100)-Net in Base 27 — Constructive
(7, 21, 100)-net in base 27, using
- 3 times m-reduction [i] based on (7, 24, 100)-net in base 27, using
- base change [i] based on digital (1, 18, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- base change [i] based on digital (1, 18, 100)-net over F81, using
(21−14, 21, 2555)-Net in Base 27 — Upper bound on s
There is no (7, 21, 2556)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 1 146023 199505 173087 335757 804337 > 2721 [i]