Best Known (63, 139, s)-Nets in Base 9
(63, 139, 114)-Net over F9 — Constructive and digital
Digital (63, 139, 114)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (8, 46, 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 (17, 93, 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 (8, 46, 40)-net over F9, using
(63, 139, 192)-Net over F9 — Digital
Digital (63, 139, 192)-net over F9, using
- t-expansion [i] based on digital (61, 139, 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, 139, 5787)-Net in Base 9 — Upper bound on s
There is no (63, 139, 5788)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 4 375873 066055 932783 857503 638977 386848 466596 659645 440847 839582 109809 901418 477959 700581 762731 747288 252210 436732 281202 965597 605386 359745 > 9139 [i]