Best Known (6, 6+28, s)-Nets in Base 32
(6, 6+28, 76)-Net over F32 — Constructive and digital
Digital (6, 34, 76)-net over F32, using
- t-expansion [i] based on digital (5, 34, 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+28, 86)-Net over F32 — Digital
Digital (6, 34, 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+28, 875)-Net in Base 32 — Upper bound on s
There is no (6, 34, 876)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1519 445519 841721 540661 675394 849792 423111 607696 087224 > 3234 [i]