Best Known (236−100, 236, s)-Nets in Base 3
(236−100, 236, 148)-Net over F3 — Constructive and digital
Digital (136, 236, 148)-net over F3, using
- 2 times m-reduction [i] based on digital (136, 238, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 119, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- trace code for nets [i] based on digital (17, 119, 74)-net over F9, using
(236−100, 236, 184)-Net over F3 — Digital
Digital (136, 236, 184)-net over F3, using
(236−100, 236, 1691)-Net in Base 3 — Upper bound on s
There is no (136, 236, 1692)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 40493 859820 251500 121758 431277 082624 987561 223648 597009 688633 150506 480824 931549 526528 534475 998355 424376 512313 289417 > 3236 [i]