Best Known (33−19, 33, s)-Nets in Base 8
(33−19, 33, 65)-Net over F8 — Constructive and digital
Digital (14, 33, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
(33−19, 33, 957)-Net in Base 8 — Upper bound on s
There is no (14, 33, 958)-net in base 8, because
- 1 times m-reduction [i] would yield (14, 32, 958)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 79410 271645 941483 783942 047055 > 832 [i]