Best Known (63, 87, s)-Nets in Base 3
(63, 87, 204)-Net over F3 — Constructive and digital
Digital (63, 87, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 29, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
(63, 87, 312)-Net over F3 — Digital
Digital (63, 87, 312)-net over F3, using
(63, 87, 7599)-Net in Base 3 — Upper bound on s
There is no (63, 87, 7600)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 323341 180527 852442 567620 301584 349810 273921 > 387 [i]