Best Known (126, 190, s)-Nets in Base 3
(126, 190, 156)-Net over F3 — Constructive and digital
Digital (126, 190, 156)-net over F3, using
- 18 times m-reduction [i] based on digital (126, 208, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 104, 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, 104, 78)-net over F9, using
(126, 190, 295)-Net over F3 — Digital
Digital (126, 190, 295)-net over F3, using
(126, 190, 4321)-Net in Base 3 — Upper bound on s
There is no (126, 190, 4322)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 4 521878 435394 800446 408877 554287 248703 895412 444292 056848 928816 999046 525843 203292 581848 498497 > 3190 [i]