Best Known (54−40, 54, s)-Nets in Base 8
(54−40, 54, 65)-Net over F8 — Constructive and digital
Digital (14, 54, 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
(54−40, 54, 313)-Net in Base 8 — Upper bound on s
There is no (14, 54, 314)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 6 107570 956860 051486 537391 530576 508912 329486 883294 > 854 [i]