Best Known (6, 38, s)-Nets in Base 9
(6, 38, 34)-Net over F9 — Constructive and digital
Digital (6, 38, 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
(6, 38, 35)-Net over F9 — Digital
Digital (6, 38, 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
(6, 38, 142)-Net in Base 9 — Upper bound on s
There is no (6, 38, 143)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(938, 143, S9, 32), but
- the linear programming bound shows that M ≥ 397513 018945 396179 567858 492797 930728 602067 425764 687738 288271 595109 597025 / 206590 175865 477026 376964 813492 216297 > 938 [i]