Best Known (202−66, 202, s)-Nets in Base 3
(202−66, 202, 162)-Net over F3 — Constructive and digital
Digital (136, 202, 162)-net over F3, using
- 6 times m-reduction [i] based on digital (136, 208, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 104, 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
- trace code for nets [i] based on digital (32, 104, 81)-net over F9, using
(202−66, 202, 342)-Net over F3 — Digital
Digital (136, 202, 342)-net over F3, using
(202−66, 202, 5448)-Net in Base 3 — Upper bound on s
There is no (136, 202, 5449)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 392077 109939 268111 563673 792237 394274 079089 852908 154454 911234 073822 368972 804304 196305 196579 915795 > 3202 [i]