Best Known (76−66, 76, s)-Nets in Base 8
(76−66, 76, 46)-Net over F8 — Constructive and digital
Digital (10, 76, 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]
(76−66, 76, 90)-Net in Base 8 — Upper bound on s
There is no (10, 76, 91)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(876, 91, S8, 66), but
- the linear programming bound shows that M ≥ 262 721490 463666 903217 002168 152150 408892 632511 258819 774952 118936 194139 309784 170496 / 449022 984597 > 876 [i]