Best Known (6, 6+35, s)-Nets in Base 9
(6, 6+35, 34)-Net over F9 — Constructive and digital
Digital (6, 41, 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, 6+35, 35)-Net over F9 — Digital
Digital (6, 41, 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, 6+35, 132)-Net in Base 9 — Upper bound on s
There is no (6, 41, 133)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(941, 133, S9, 35), but
- the linear programming bound shows that M ≥ 15 505780 284153 456181 363818 697480 994935 310138 657852 828639 771281 392697 594167 / 11392 724162 427889 258141 179121 312223 > 941 [i]