Best Known (35, 35+36, s)-Nets in Base 9
(35, 35+36, 94)-Net over F9 — Constructive and digital
Digital (35, 71, 94)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (4, 22, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- digital (13, 49, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- digital (4, 22, 30)-net over F9, using
(35, 35+36, 96)-Net in Base 9 — Constructive
(35, 71, 96)-net in base 9, using
- 1 times m-reduction [i] based on (35, 72, 96)-net in base 9, using
- base change [i] based on digital (11, 48, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- base change [i] based on digital (11, 48, 96)-net over F27, using
(35, 35+36, 142)-Net over F9 — Digital
Digital (35, 71, 142)-net over F9, using
(35, 35+36, 5471)-Net in Base 9 — Upper bound on s
There is no (35, 71, 5472)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 56 395135 121256 937427 520746 281799 421114 659958 553057 504502 364528 660993 > 971 [i]