Best Known (108−90, 108, s)-Nets in Base 7
(108−90, 108, 26)-Net over F7 — Constructive and digital
Digital (18, 108, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(108−90, 108, 51)-Net over F7 — Digital
Digital (18, 108, 51)-net over F7, using
- net from sequence [i] based on digital (18, 50)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 18 and N(F) ≥ 51, using
(108−90, 108, 133)-Net in Base 7 — Upper bound on s
There is no (18, 108, 134)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(7108, 134, S7, 90), but
- the linear programming bound shows that M ≥ 969451 377941 492080 100925 250299 899208 868177 629006 568865 926163 447407 130396 073887 754303 533598 025140 820991 594198 734039 / 50480 675951 058790 006375 > 7108 [i]