Best Known (17, 17+101, s)-Nets in Base 8
(17, 17+101, 65)-Net over F8 — Constructive and digital
Digital (17, 118, 65)-net over F8, using
- t-expansion [i] based on digital (14, 118, 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
(17, 17+101, 138)-Net in Base 8 — Upper bound on s
There is no (17, 118, 139)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(8118, 139, S8, 101), but
- the linear programming bound shows that M ≥ 86 122166 823419 594361 457243 405645 198855 851117 431259 906299 815036 071096 967116 729798 784443 354837 373006 252286 343831 710016 130244 411392 / 2218 870601 774953 928217 > 8118 [i]