Best Known (80, 80+28, s)-Nets in Base 9
(80, 80+28, 774)-Net over F9 — Constructive and digital
Digital (80, 108, 774)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (6, 20, 34)-net over F9, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- net from sequence [i] based on digital (6, 33)-sequence over F9, using
- digital (60, 88, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 44, 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, 44, 370)-net over F81, using
- digital (6, 20, 34)-net over F9, using
(80, 80+28, 8973)-Net over F9 — Digital
Digital (80, 108, 8973)-net over F9, using
(80, 80+28, large)-Net in Base 9 — Upper bound on s
There is no (80, 108, large)-net in base 9, because
- 26 times m-reduction [i] would yield (80, 82, large)-net in base 9, but