Best Known (140, 140+76, s)-Nets in Base 3
(140, 140+76, 162)-Net over F3 — Constructive and digital
Digital (140, 216, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 108, 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
(140, 140+76, 289)-Net over F3 — Digital
Digital (140, 216, 289)-net over F3, using
(140, 140+76, 3833)-Net in Base 3 — Upper bound on s
There is no (140, 216, 3834)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 465372 705005 607936 285689 145513 435016 931569 341067 509384 284836 354992 995075 476730 067217 505573 271493 482445 > 3216 [i]