Best Known (108−93, 108, s)-Nets in Base 8
(108−93, 108, 65)-Net over F8 — Constructive and digital
Digital (15, 108, 65)-net over F8, using
- t-expansion [i] based on digital (14, 108, 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
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(108−93, 108, 123)-Net in Base 8 — Upper bound on s
There is no (15, 108, 124)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(8108, 124, S8, 93), but
- the linear programming bound shows that M ≥ 302067 636843 505531 883890 845707 740199 346768 359063 955658 182923 822512 167902 446126 353225 119662 763164 078853 468429 746176 / 7795 981619 009375 > 8108 [i]