Best Known (63, 63+80, s)-Nets in Base 9
(63, 63+80, 108)-Net over F9 — Constructive and digital
Digital (63, 143, 108)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (6, 46, 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 (17, 97, 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 (6, 46, 34)-net over F9, using
(63, 63+80, 192)-Net over F9 — Digital
Digital (63, 143, 192)-net over F9, using
- t-expansion [i] based on digital (61, 143, 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
(63, 63+80, 5058)-Net in Base 9 — Upper bound on s
There is no (63, 143, 5059)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 28730 900093 628345 562666 073702 724892 859166 538148 670770 910130 065187 631817 347861 917396 996000 416685 176691 233772 579102 617980 936275 713184 409025 > 9143 [i]