Best Known (5, 5+29, s)-Nets in Base 32
(5, 5+29, 76)-Net over F32 — Constructive and digital
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
(5, 5+29, 83)-Net over F32 — Digital
Digital (5, 34, 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+29, 681)-Net in Base 32 — Upper bound on s
There is no (5, 34, 682)-net in base 32, because
- 1 times m-reduction [i] would yield (5, 33, 682)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 47 114522 930525 074507 323225 722559 840590 626044 215504 > 3233 [i]