Best Known (193−50, 193, s)-Nets in Base 3
(193−50, 193, 288)-Net over F3 — Constructive and digital
Digital (143, 193, 288)-net over F3, using
- 5 times m-reduction [i] based on digital (143, 198, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 66, 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, 66, 96)-net over F27, using
(193−50, 193, 719)-Net over F3 — Digital
Digital (143, 193, 719)-net over F3, using
(193−50, 193, 24521)-Net in Base 3 — Upper bound on s
There is no (143, 193, 24522)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 121 573550 636271 293409 201511 090942 712133 063541 037096 573204 530837 699155 889093 482251 294777 286693 > 3193 [i]