Best Known (119, 179, s)-Nets in Base 3
(119, 179, 156)-Net over F3 — Constructive and digital
Digital (119, 179, 156)-net over F3, using
- 15 times m-reduction [i] based on digital (119, 194, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 97, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- trace code for nets [i] based on digital (22, 97, 78)-net over F9, using
(119, 179, 285)-Net over F3 — Digital
Digital (119, 179, 285)-net over F3, using
(119, 179, 4202)-Net in Base 3 — Upper bound on s
There is no (119, 179, 4203)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 25 403017 420047 142046 164408 324765 826313 906595 274636 114695 466045 999868 725249 052223 366717 > 3179 [i]