Best Known (9, 9+32, s)-Nets in Base 27
(9, 9+32, 88)-Net over F27 — Constructive and digital
Digital (9, 41, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
(9, 9+32, 99)-Net over F27 — Digital
Digital (9, 41, 99)-net over F27, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 99, using
(9, 9+32, 1209)-Net in Base 27 — Upper bound on s
There is no (9, 41, 1210)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 48966 235276 111078 768582 005339 886209 544626 071604 765239 836065 > 2741 [i]