Best Known (5, 5+31, s)-Nets in Base 32
(5, 5+31, 76)-Net over F32 — Constructive and digital
Digital (5, 36, 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
(5, 5+31, 83)-Net over F32 — Digital
Digital (5, 36, 83)-net over F32, using
- net from sequence [i] based on digital (5, 82)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 83, using
(5, 5+31, 666)-Net in Base 32 — Upper bound on s
There is no (5, 36, 667)-net in base 32, because
- 1 times m-reduction [i] would yield (5, 35, 667)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 48788 328866 761836 456754 694257 204320 864886 202923 504048 > 3235 [i]