Best Known (62, 148, s)-Nets in Base 9
(62, 148, 98)-Net over F9 — Constructive and digital
Digital (62, 148, 98)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (6, 49, 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 (13, 99, 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 (6, 49, 34)-net over F9, using
(62, 148, 192)-Net over F9 — Digital
Digital (62, 148, 192)-net over F9, using
- t-expansion [i] based on digital (61, 148, 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
(62, 148, 4035)-Net in Base 9 — Upper bound on s
There is no (62, 148, 4036)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 1694 466570 963515 498035 751261 071533 483515 590694 501213 374742 492279 472993 046531 954433 398202 257572 568979 198576 374699 611929 201036 863955 327972 290785 > 9148 [i]