Best Known (27−22, 27, s)-Nets in Base 32
(27−22, 27, 76)-Net over F32 — Constructive and digital
Digital (5, 27, 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
(27−22, 27, 83)-Net over F32 — Digital
Digital (5, 27, 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
(27−22, 27, 778)-Net in Base 32 — Upper bound on s
There is no (5, 27, 779)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 43995 504715 624628 769786 596180 699200 799840 > 3227 [i]