Best Known (106, 106+38, s)-Nets in Base 9
(106, 106+38, 814)-Net over F9 — Constructive and digital
Digital (106, 144, 814)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (17, 36, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- digital (70, 108, 740)-net over F9, using
- trace code for nets [i] based on digital (16, 54, 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, 54, 370)-net over F81, using
- digital (17, 36, 74)-net over F9, using
(106, 106+38, 9494)-Net over F9 — Digital
Digital (106, 144, 9494)-net over F9, using
(106, 106+38, large)-Net in Base 9 — Upper bound on s
There is no (106, 144, large)-net in base 9, because
- 36 times m-reduction [i] would yield (106, 108, large)-net in base 9, but