Best Known (150−54, 150, s)-Nets in Base 2
(150−54, 150, 68)-Net over F2 — Constructive and digital
Digital (96, 150, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 75, 34)-net over F4, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 21 and N(F) ≥ 34, using
- T5 from the second 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) = 21 and N(F) ≥ 34, using
- net from sequence [i] based on digital (21, 33)-sequence over F4, using
(150−54, 150, 93)-Net over F2 — Digital
Digital (96, 150, 93)-net over F2, using
(150−54, 150, 475)-Net in Base 2 — Upper bound on s
There is no (96, 150, 476)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1491 349971 383547 858900 005987 461794 601568 912179 > 2150 [i]