Best Known (7, 54, s)-Nets in Base 9
(7, 54, 36)-Net over F9 — Constructive and digital
Digital (7, 54, 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
(7, 54, 40)-Net over F9 — Digital
Digital (7, 54, 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
(7, 54, 124)-Net in Base 9 — Upper bound on s
There is no (7, 54, 125)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(954, 125, S9, 47), but
- the linear programming bound shows that M ≥ 158858 875791 621951 461447 269268 306283 192599 941481 033117 292473 173294 628306 214881 813758 820769 400558 591690 144500 / 46 309058 629116 485862 362363 518571 172173 947411 472524 953599 > 954 [i]