Best Known (63, 105, s)-Nets in Base 3
(63, 105, 80)-Net over F3 — Constructive and digital
Digital (63, 105, 80)-net over F3, using
- 5 times m-reduction [i] based on digital (63, 110, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 55, 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, 55, 40)-net over F9, using
(63, 105, 109)-Net over F3 — Digital
Digital (63, 105, 109)-net over F3, using
(63, 105, 1034)-Net in Base 3 — Upper bound on s
There is no (63, 105, 1035)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 127 199214 542653 888439 504310 609044 574004 693976 429487 > 3105 [i]