Best Known (226−92, 226, s)-Nets in Base 2
(226−92, 226, 68)-Net over F2 — Constructive and digital
Digital (134, 226, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 113, 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
(226−92, 226, 98)-Net over F2 — Digital
Digital (134, 226, 98)-net over F2, using
(226−92, 226, 477)-Net in Base 2 — Upper bound on s
There is no (134, 226, 478)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 112 928142 650891 281137 569095 239600 197593 312182 771328 865906 408332 466624 > 2226 [i]