Best Known (69, 95, s)-Nets in Base 3
(69, 95, 204)-Net over F3 — Constructive and digital
Digital (69, 95, 204)-net over F3, using
- 1 times m-reduction [i] based on digital (69, 96, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 32, 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
- trace code for nets [i] based on digital (5, 32, 68)-net over F27, using
(69, 95, 343)-Net over F3 — Digital
Digital (69, 95, 343)-net over F3, using
(69, 95, 8677)-Net in Base 3 — Upper bound on s
There is no (69, 95, 8678)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2121 713136 250620 586580 996482 539781 613959 755669 > 395 [i]