Best Known (150, 205, s)-Nets in Base 3
(150, 205, 288)-Net over F3 — Constructive and digital
Digital (150, 205, 288)-net over F3, using
- t-expansion [i] based on digital (149, 205, 288)-net over F3, using
- 2 times m-reduction [i] based on digital (149, 207, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 69, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- trace code for nets [i] based on digital (11, 69, 96)-net over F27, using
- 2 times m-reduction [i] based on digital (149, 207, 288)-net over F3, using
(150, 205, 663)-Net over F3 — Digital
Digital (150, 205, 663)-net over F3, using
(150, 205, 21966)-Net in Base 3 — Upper bound on s
There is no (150, 205, 21967)-net in base 3, because
- 1 times m-reduction [i] would yield (150, 204, 21967)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 21 516288 787272 647121 856799 887667 456212 223950 303121 025261 622529 135083 966782 241390 030573 109902 183179 > 3204 [i]