Best Known (59, 81, s)-Nets in Base 2
(59, 81, 84)-Net over F2 — Constructive and digital
Digital (59, 81, 84)-net over F2, using
- trace code for nets [i] based on digital (5, 27, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
(59, 81, 113)-Net over F2 — Digital
Digital (59, 81, 113)-net over F2, using
(59, 81, 792)-Net in Base 2 — Upper bound on s
There is no (59, 81, 793)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 2 429109 923591 246487 518616 > 281 [i]