Best Known (129, 129+86, s)-Nets in Base 2
(129, 129+86, 68)-Net over F2 — Constructive and digital
Digital (129, 215, 68)-net over F2, using
- 1 times m-reduction [i] based on digital (129, 216, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 108, 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
- trace code for nets [i] based on digital (21, 108, 34)-net over F4, using
(129, 129+86, 98)-Net over F2 — Digital
Digital (129, 215, 98)-net over F2, using
(129, 129+86, 479)-Net in Base 2 — Upper bound on s
There is no (129, 215, 480)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 54638 506040 966958 295665 244476 336143 316404 107627 689489 156641 189278 > 2215 [i]