Best Known (144, 224, s)-Nets in Base 3
(144, 224, 162)-Net over F3 — Constructive and digital
Digital (144, 224, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 112, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
(144, 224, 286)-Net over F3 — Digital
Digital (144, 224, 286)-net over F3, using
(144, 224, 3664)-Net in Base 3 — Upper bound on s
There is no (144, 224, 3665)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 75495 108204 081541 986644 612033 575712 857107 787738 804200 533376 264109 995717 921862 237575 048815 778725 518639 982625 > 3224 [i]