Best Known (128, 214, s)-Nets in Base 2
(128, 214, 68)-Net over F2 — Constructive and digital
Digital (128, 214, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 107, 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
(128, 214, 97)-Net over F2 — Digital
Digital (128, 214, 97)-net over F2, using
(128, 214, 470)-Net in Base 2 — Upper bound on s
There is no (128, 214, 471)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 26438 898528 489245 013711 242288 545133 575799 183792 576339 210428 040760 > 2214 [i]