Best Known (14, 100, s)-Nets in Base 8
(14, 100, 65)-Net over F8 — Constructive and digital
Digital (14, 100, 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
(14, 100, 117)-Net in Base 8 — Upper bound on s
There is no (14, 100, 118)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(8100, 118, S8, 86), but
- the linear programming bound shows that M ≥ 164566 265892 733580 883230 164819 636579 963677 192824 626175 132024 331250 209356 207369 073818 210714 343572 608863 174656 / 77282 438282 930705 > 8100 [i]