Best Known (11, 11+35, s)-Nets in Base 8
(11, 11+35, 48)-Net over F8 — Constructive and digital
Digital (11, 46, 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
(11, 11+35, 241)-Net in Base 8 — Upper bound on s
There is no (11, 46, 242)-net in base 8, because
- 1 times m-reduction [i] would yield (11, 45, 242)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 44468 244223 349837 446312 119141 491292 580925 > 845 [i]