Best Known (98−84, 98, s)-Nets in Base 8
(98−84, 98, 65)-Net over F8 — Constructive and digital
Digital (14, 98, 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
(98−84, 98, 124)-Net in Base 8 — Upper bound on s
There is no (14, 98, 125)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(898, 125, S8, 84), but
- the linear programming bound shows that M ≥ 9298 913722 924863 102931 084300 281136 168819 285851 621356 043961 942344 463157 330013 762822 906736 722296 932230 550664 511488 / 218098 036791 555023 631645 > 898 [i]