Best Known (216−58, 216, s)-Nets in Base 2
(216−58, 216, 195)-Net over F2 — Constructive and digital
Digital (158, 216, 195)-net over F2, using
- trace code for nets [i] based on digital (14, 72, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(216−58, 216, 248)-Net over F2 — Digital
Digital (158, 216, 248)-net over F2, using
(216−58, 216, 1995)-Net in Base 2 — Upper bound on s
There is no (158, 216, 1996)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 105688 081924 452608 622010 703849 797165 595875 039024 536817 587536 241936 > 2216 [i]