Best Known (146−84, 146, s)-Nets in Base 9
(146−84, 146, 102)-Net over F9 — Constructive and digital
Digital (62, 146, 102)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (3, 45, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- digital (17, 101, 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 (3, 45, 28)-net over F9, using
(146−84, 146, 192)-Net over F9 — Digital
Digital (62, 146, 192)-net over F9, using
- t-expansion [i] based on digital (61, 146, 192)-net over F9, using
- net from sequence [i] based on digital (61, 191)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 61 and N(F) ≥ 192, using
- net from sequence [i] based on digital (61, 191)-sequence over F9, using
(146−84, 146, 4258)-Net in Base 9 — Upper bound on s
There is no (62, 146, 4259)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 21 027076 523812 510595 579334 302762 725739 292108 025971 524919 793033 643186 134163 357472 820109 177606 052695 357967 580826 403190 957381 943082 797927 464305 > 9146 [i]