Best Known (3, 3+12, s)-Nets in Base 8
(3, 3+12, 24)-Net over F8 — Constructive and digital
Digital (3, 15, 24)-net over F8, using
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
(3, 3+12, 74)-Net in Base 8 — Upper bound on s
There is no (3, 15, 75)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 37 678152 720706 > 815 [i]