Best Known (109−91, 109, s)-Nets in Base 7
(109−91, 109, 26)-Net over F7 — Constructive and digital
Digital (18, 109, 26)-net over F7, using
- net from sequence [i] based on digital (18, 25)-sequence over F7, using
(109−91, 109, 51)-Net over F7 — Digital
Digital (18, 109, 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
(109−91, 109, 132)-Net in Base 7 — Upper bound on s
There is no (18, 109, 133)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(7109, 133, S7, 91), but
- the linear programming bound shows that M ≥ 2 878465 171909 120349 908056 888939 907371 447506 624143 438070 256758 325267 819689 445087 207699 305347 048848 045643 640296 015301 / 19183 954700 034071 833600 > 7109 [i]