Best Known (11, 59, s)-Nets in Base 81
(11, 59, 172)-Net over F81 — Constructive and digital
Digital (11, 59, 172)-net over F81, using
- t-expansion [i] based on digital (7, 59, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
(11, 59, 244)-Net over F81 — Digital
Digital (11, 59, 244)-net over F81, using
- t-expansion [i] based on digital (9, 59, 244)-net over F81, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 9 and N(F) ≥ 244, using
- net from sequence [i] based on digital (9, 243)-sequence over F81, using
(11, 59, 6013)-Net in Base 81 — Upper bound on s
There is no (11, 59, 6014)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 39975 992284 445297 883159 665728 242575 267667 582896 064240 070295 203334 016719 880116 489892 885476 441315 096042 693209 498881 > 8159 [i]