Best Known (156−145, 156, s)-Nets in Base 8
(156−145, 156, 48)-Net over F8 — Constructive and digital
Digital (11, 156, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
(156−145, 156, 95)-Net in Base 8 — Upper bound on s
There is no (11, 156, 96)-net in base 8, because
- 73 times m-reduction [i] would yield (11, 83, 96)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(883, 96, S8, 72), but
- the linear programming bound shows that M ≥ 601 433997 364031 044137 528178 931541 095128 705181 131547 903349 738124 067793 054941 183723 175936 / 593517 142933 > 883 [i]
- extracting embedded orthogonal array [i] would yield OA(883, 96, S8, 72), but