Best Known (181, 181+64, s)-Nets in Base 3
(181, 181+64, 288)-Net over F3 — Constructive and digital
Digital (181, 245, 288)-net over F3, using
- t-expansion [i] based on digital (177, 245, 288)-net over F3, using
- 4 times m-reduction [i] based on digital (177, 249, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 83, 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, 83, 96)-net over F27, using
- 4 times m-reduction [i] based on digital (177, 249, 288)-net over F3, using
(181, 181+64, 851)-Net over F3 — Digital
Digital (181, 245, 851)-net over F3, using
(181, 181+64, 28729)-Net in Base 3 — Upper bound on s
There is no (181, 245, 28730)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 784 784071 016700 365684 132436 788646 042935 758628 950265 554428 622290 618984 852915 391881 020766 554593 889659 519342 178172 621633 > 3245 [i]