Best Known (38, 38+42, s)-Nets in Base 9
(38, 38+42, 94)-Net over F9 — Constructive and digital
Digital (38, 80, 94)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (4, 25, 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, 55, 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, 25, 30)-net over F9, using
(38, 38+42, 96)-Net in Base 9 — Constructive
(38, 80, 96)-net in base 9, using
- 1 times m-reduction [i] based on (38, 81, 96)-net in base 9, using
- base change [i] based on digital (11, 54, 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, 54, 96)-net over F27, using
(38, 38+42, 135)-Net over F9 — Digital
Digital (38, 80, 135)-net over F9, using
(38, 38+42, 4671)-Net in Base 9 — Upper bound on s
There is no (38, 80, 4672)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 21912 776579 559579 712937 034920 276858 824677 122409 431814 285872 498608 372311 067137 > 980 [i]