Best Known (14, 59, s)-Nets in Base 8
(14, 59, 65)-Net over F8 — Constructive and digital
Digital (14, 59, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
(14, 59, 295)-Net in Base 8 — Upper bound on s
There is no (14, 59, 296)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(859, 296, S8, 45), but
- the linear programming bound shows that M ≥ 1921 331193 654861 422688 271785 451568 659085 581585 331361 685912 603969 356016 383617 027416 129302 788001 515853 294728 537702 400000 / 9661 169647 395790 076260 967319 107004 553855 302732 729325 008858 371639 > 859 [i]