Best Known (132, 132+68, s)-Nets in Base 3
(132, 132+68, 162)-Net over F3 — Constructive and digital
Digital (132, 200, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 100, 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
(132, 132+68, 299)-Net over F3 — Digital
Digital (132, 200, 299)-net over F3, using
(132, 132+68, 4302)-Net in Base 3 — Upper bound on s
There is no (132, 200, 4303)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 267440 150837 905013 706820 371122 341995 683917 244226 150437 766735 358570 181732 669601 492765 871022 021469 > 3200 [i]