Best Known (119, 174, s)-Nets in Base 3
(119, 174, 162)-Net over F3 — Constructive and digital
Digital (119, 174, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 87, 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
(119, 174, 334)-Net over F3 — Digital
Digital (119, 174, 334)-net over F3, using
(119, 174, 6203)-Net in Base 3 — Upper bound on s
There is no (119, 174, 6204)-net in base 3, because
- 1 times m-reduction [i] would yield (119, 173, 6204)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 34902 531745 401621 350841 502251 312413 221689 302924 480592 156082 500635 677005 583277 391953 > 3173 [i]