Best Known (6, 6+43, s)-Nets in Base 32
(6, 6+43, 76)-Net over F32 — Constructive and digital
Digital (6, 49, 76)-net over F32, using
- t-expansion [i] based on digital (5, 49, 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+43, 86)-Net over F32 — Digital
Digital (6, 49, 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+43, 761)-Net in Base 32 — Upper bound on s
There is no (6, 49, 762)-net in base 32, because
- 1 times m-reduction [i] would yield (6, 48, 762)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 1 810624 154026 332864 707746 476681 409708 353776 006970 984166 145006 093570 566122 > 3248 [i]