Best Known (59, 141, s)-Nets in Base 9
(59, 141, 96)-Net over F9 — Constructive and digital
Digital (59, 141, 96)-net over F9, using
- (u, u+v)-construction [i] based on
- digital (5, 46, 32)-net over F9, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- digital (13, 95, 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 (5, 46, 32)-net over F9, using
(59, 141, 182)-Net over F9 — Digital
Digital (59, 141, 182)-net over F9, using
- t-expansion [i] based on digital (50, 141, 182)-net over F9, using
- net from sequence [i] based on digital (50, 181)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 50 and N(F) ≥ 182, using
- net from sequence [i] based on digital (50, 181)-sequence over F9, using
(59, 141, 3834)-Net in Base 9 — Upper bound on s
There is no (59, 141, 3835)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 357 022651 503396 867612 941336 791745 879391 021063 222422 596867 760422 140195 564993 362756 862934 667336 688844 681731 136274 692676 572388 788008 174489 > 9141 [i]