Best Known (8, 56, s)-Nets in Base 9
(8, 56, 40)-Net over F9 — Constructive and digital
Digital (8, 56, 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
(8, 56, 42)-Net over F9 — Digital
Digital (8, 56, 42)-net over F9, using
- net from sequence [i] based on digital (8, 41)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 42, using
(8, 56, 152)-Net in Base 9 — Upper bound on s
There is no (8, 56, 153)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(956, 153, S9, 48), but
- the linear programming bound shows that M ≥ 5939 632131 761361 609954 742272 850594 996159 981590 501256 676783 157661 641221 898560 147704 424482 964480 445905 557030 621648 565076 / 21235 272720 134311 988178 809498 218251 464688 113346 913479 118959 856051 > 956 [i]