Best Known (44−30, 44, s)-Nets in Base 8
(44−30, 44, 65)-Net over F8 — Constructive and digital
Digital (14, 44, 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
(44−30, 44, 399)-Net in Base 8 — Upper bound on s
There is no (14, 44, 400)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 5458 507750 540459 483062 514493 079457 347791 > 844 [i]