Best Known (46−40, 46, s)-Nets in Base 9
(46−40, 46, 34)-Net over F9 — Constructive and digital
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
(46−40, 46, 35)-Net over F9 — Digital
Digital (6, 46, 35)-net over F9, using
- net from sequence [i] based on digital (6, 34)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 35, using
(46−40, 46, 120)-Net in Base 9 — Upper bound on s
There is no (6, 46, 121)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(946, 121, S9, 40), but
- the linear programming bound shows that M ≥ 106 053809 315242 322916 015966 952034 935748 702174 203583 665690 091194 325031 024481 430523 773415 / 1 260938 950334 798076 933320 360707 347141 578551 > 946 [i]