Best Known (64−48, 64, s)-Nets in Base 8
(64−48, 64, 65)-Net over F8 — Constructive and digital
Digital (16, 64, 65)-net over F8, using
- t-expansion [i] based on digital (14, 64, 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
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(64−48, 64, 343)-Net in Base 8 — Upper bound on s
There is no (16, 64, 344)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 6373 002289 621545 630556 562101 804762 805921 294462 022196 182424 > 864 [i]