Best Known (17, 17+103, s)-Nets in Base 8
(17, 17+103, 65)-Net over F8 — Constructive and digital
Digital (17, 120, 65)-net over F8, using
- t-expansion [i] based on digital (14, 120, 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+103, 137)-Net in Base 8 — Upper bound on s
There is no (17, 120, 138)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(8120, 138, S8, 103), but
- the linear programming bound shows that M ≥ 111645 453241 746255 920862 684222 479803 153865 164146 020446 912158 451311 961713 255226 562612 641032 127218 234498 669820 214273 467205 287936 / 44751 440946 265625 > 8120 [i]