Best Known (70, 70+25, s)-Nets in Base 9
(70, 70+25, 756)-Net over F9 — Constructive and digital
Digital (70, 95, 756)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (1, 13, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- digital (57, 82, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 41, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- trace code for nets [i] based on digital (16, 41, 370)-net over F81, using
- digital (1, 13, 16)-net over F9, using
(70, 70+25, 7348)-Net over F9 — Digital
Digital (70, 95, 7348)-net over F9, using
(70, 70+25, large)-Net in Base 9 — Upper bound on s
There is no (70, 95, large)-net in base 9, because
- 23 times m-reduction [i] would yield (70, 72, large)-net in base 9, but