Best Known (46−39, 46, s)-Nets in Base 9
(46−39, 46, 36)-Net over F9 — Constructive and digital
Digital (7, 46, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
(46−39, 46, 40)-Net over F9 — Digital
Digital (7, 46, 40)-net over F9, using
- net from sequence [i] based on digital (7, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 40, using
(46−39, 46, 152)-Net in Base 9 — Upper bound on s
There is no (7, 46, 153)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(946, 153, S9, 39), but
- the linear programming bound shows that M ≥ 11379 286557 780751 915626 151450 449082 162045 804820 872588 246512 819716 530853 506708 449496 131666 637500 / 140 454451 465802 702654 063163 591896 952185 190381 227509 > 946 [i]