Best Known (63, 147, s)-Nets in Base 9
(63, 147, 104)-Net over F9 — Constructive and digital
Digital (63, 147, 104)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (8, 50, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- digital (13, 97, 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 (8, 50, 40)-net over F9, using
(63, 147, 192)-Net over F9 — Digital
Digital (63, 147, 192)-net over F9, using
- t-expansion [i] based on digital (61, 147, 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, 147, 4488)-Net in Base 9 — Upper bound on s
There is no (63, 147, 4489)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 189 035437 473963 573702 019553 615320 604484 528435 239860 787420 223088 064714 840671 862342 735415 926734 089218 797585 467537 525450 252621 336336 859676 604945 > 9147 [i]