Best Known (90−68, 90, s)-Nets in Base 5
(90−68, 90, 51)-Net over F5 — Constructive and digital
Digital (22, 90, 51)-net over F5, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
(90−68, 90, 147)-Net in Base 5 — Upper bound on s
There is no (22, 90, 148)-net in base 5, because
- extracting embedded orthogonal array [i] would yield OA(590, 148, S5, 68), but
- the linear programming bound shows that M ≥ 431610 553477 725795 492663 655299 828501 457835 145498 870635 306570 918825 567838 573814 952193 213152 345006 359788 992549 777992 195985 556306 801755 876989 545868 127606 809139 251708 984375 / 519 883817 726727 287226 404932 806396 718688 520418 405815 606859 344152 644135 560441 765926 254946 512570 013751 968538 > 590 [i]