Best Known (76, 133, s)-Nets in Base 3
(76, 133, 80)-Net over F3 — Constructive and digital
Digital (76, 133, 80)-net over F3, using
- 3 times m-reduction [i] based on digital (76, 136, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 68, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- trace code for nets [i] based on digital (8, 68, 40)-net over F9, using
(76, 133, 109)-Net over F3 — Digital
Digital (76, 133, 109)-net over F3, using
(76, 133, 975)-Net in Base 3 — Upper bound on s
There is no (76, 133, 976)-net in base 3, because
- 1 times m-reduction [i] would yield (76, 132, 976)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 962 551791 041095 955365 719881 914897 969370 364846 904030 281253 149057 > 3132 [i]