Best Known (114−98, 114, s)-Nets in Base 8
(114−98, 114, 65)-Net over F8 — Constructive and digital
Digital (16, 114, 65)-net over F8, using
- t-expansion [i] based on digital (14, 114, 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
(114−98, 114, 129)-Net in Base 8 — Upper bound on s
There is no (16, 114, 130)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(8114, 130, S8, 98), but
- the linear programming bound shows that M ≥ 35521 613223 977817 808600 584786 921883 743646 382533 111114 232182 834553 852288 928742 958552 390470 329316 634829 110683 210776 313856 / 3847 120524 212625 > 8114 [i]