Best Known (134, 224, s)-Nets in Base 3
(134, 224, 156)-Net over F3 — Constructive and digital
Digital (134, 224, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 112, 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
(134, 224, 204)-Net over F3 — Digital
Digital (134, 224, 204)-net over F3, using
(134, 224, 2045)-Net in Base 3 — Upper bound on s
There is no (134, 224, 2046)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 75186 817755 733142 974358 958185 684666 953148 008303 008333 898768 732562 162276 584097 834466 451212 623546 429158 809285 > 3224 [i]