Best Known (218−88, 218, s)-Nets in Base 2
(218−88, 218, 68)-Net over F2 — Constructive and digital
Digital (130, 218, 68)-net over F2, using
- trace code for nets [i] based on digital (21, 109, 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
(218−88, 218, 97)-Net over F2 — Digital
Digital (130, 218, 97)-net over F2, using
(218−88, 218, 472)-Net in Base 2 — Upper bound on s
There is no (130, 218, 473)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 421817 206937 097312 688581 996473 253391 544582 288180 145676 794945 392280 > 2218 [i]