Best Known (46, 46+50, s)-Nets in Base 8
(46, 46+50, 99)-Net over F8 — Constructive and digital
Digital (46, 96, 99)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (7, 32, 34)-net over F8, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- 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
- digital (7, 32, 34)-net over F8, using
(46, 46+50, 144)-Net over F8 — Digital
Digital (46, 96, 144)-net over F8, using
- t-expansion [i] based on digital (45, 96, 144)-net over F8, using
- net from sequence [i] based on digital (45, 143)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- net from sequence [i] based on digital (45, 143)-sequence over F8, using
(46, 46+50, 4254)-Net in Base 8 — Upper bound on s
There is no (46, 96, 4255)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 499 931504 192490 821728 173174 523579 298486 295273 356576 071495 230188 709637 729231 682875 506958 > 896 [i]