Best Known (6, 6+33, s)-Nets in Base 32
(6, 6+33, 76)-Net over F32 — Constructive and digital
Digital (6, 39, 76)-net over F32, using
- t-expansion [i] based on digital (5, 39, 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+33, 86)-Net over F32 — Digital
Digital (6, 39, 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+33, 815)-Net in Base 32 — Upper bound on s
There is no (6, 39, 816)-net in base 32, because
- 1 times m-reduction [i] would yield (6, 38, 816)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 1570 324917 800728 290158 608678 509682 625889 910820 764428 220666 > 3238 [i]