Best Known (161−41, 161, s)-Nets in Base 8
(161−41, 161, 1050)-Net over F8 — Constructive and digital
Digital (120, 161, 1050)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (3, 23, 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
- net from sequence [i] based on digital (3, 23)-sequence over F8, using
- digital (97, 138, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 69, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- trace code for nets [i] based on digital (28, 69, 513)-net over F64, using
- digital (3, 23, 24)-net over F8, using
(161−41, 161, 9739)-Net over F8 — Digital
Digital (120, 161, 9739)-net over F8, using
(161−41, 161, large)-Net in Base 8 — Upper bound on s
There is no (120, 161, large)-net in base 8, because
- 39 times m-reduction [i] would yield (120, 122, large)-net in base 8, but