Best Known (84, 141, s)-Nets in Base 3
(84, 141, 128)-Net over F3 — Constructive and digital
Digital (84, 141, 128)-net over F3, using
- 1 times m-reduction [i] based on 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
- trace code for nets [i] based on digital (13, 71, 64)-net over F9, using
(84, 141, 135)-Net over F3 — Digital
Digital (84, 141, 135)-net over F3, using
(84, 141, 1345)-Net in Base 3 — Upper bound on s
There is no (84, 141, 1346)-net in base 3, because
- 1 times m-reduction [i] would yield (84, 140, 1346)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 6 337034 230447 440510 186489 104638 121051 246028 301392 454245 027179 578393 > 3140 [i]