Best Known (84, 84+58, s)-Nets in Base 3
(84, 84+58, 128)-Net over F3 — Constructive and digital
Digital (84, 142, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 71, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
(84, 84+58, 132)-Net over F3 — Digital
Digital (84, 142, 132)-net over F3, using
(84, 84+58, 1237)-Net in Base 3 — Upper bound on s
There is no (84, 142, 1238)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 57 049050 559147 896786 107588 780458 633997 326113 193617 446341 305236 449749 > 3142 [i]