Best Known (48−38, 48, s)-Nets in Base 8
(48−38, 48, 46)-Net over F8 — Constructive and digital
Digital (10, 48, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
(48−38, 48, 202)-Net in Base 8 — Upper bound on s
There is no (10, 48, 203)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(848, 203, S8, 38), but
- the linear programming bound shows that M ≥ 209659 315454 441876 745897 891674 097623 285754 406550 767495 250621 266509 256496 394451 548088 620470 501376 / 8882 571624 926662 848478 311382 342672 763913 591733 597327 > 848 [i]