Best Known (204−70, 204, s)-Nets in Base 3
(204−70, 204, 162)-Net over F3 — Constructive and digital
Digital (134, 204, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 102, 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
(204−70, 204, 296)-Net over F3 — Digital
Digital (134, 204, 296)-net over F3, using
(204−70, 204, 4164)-Net in Base 3 — Upper bound on s
There is no (134, 204, 4165)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 21 542995 793535 894441 422780 528002 360391 546968 554382 031256 042963 414016 490328 403757 809295 369541 008235 > 3204 [i]