Best Known (6, 6+40, s)-Nets in Base 32
(6, 6+40, 76)-Net over F32 — Constructive and digital
Digital (6, 46, 76)-net over F32, using
- t-expansion [i] based on digital (5, 46, 76)-net over F32, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
(6, 6+40, 86)-Net over F32 — Digital
Digital (6, 46, 86)-net over F32, using
- net from sequence [i] based on digital (6, 85)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 6 and N(F) ≥ 86, using
(6, 6+40, 765)-Net in Base 32 — Upper bound on s
There is no (6, 46, 766)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1736 353443 881311 969021 001999 485485 665405 745571 621234 257858 553354 483127 > 3246 [i]