Best Known (146, 226, s)-Nets in Base 2
(146, 226, 112)-Net over F2 — Constructive and digital
Digital (146, 226, 112)-net over F2, using
- trace code for nets [i] based on digital (33, 113, 56)-net over F4, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- net from sequence [i] based on digital (33, 55)-sequence over F4, using
(146, 226, 135)-Net over F2 — Digital
Digital (146, 226, 135)-net over F2, using
(146, 226, 734)-Net in Base 2 — Upper bound on s
There is no (146, 226, 735)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 111 969366 572453 885396 193272 768287 711962 407237 207746 580960 337525 807030 > 2226 [i]