Best Known (43−33, 43, s)-Nets in Base 8
(43−33, 43, 46)-Net over F8 — Constructive and digital
Digital (10, 43, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
(43−33, 43, 218)-Net in Base 8 — Upper bound on s
There is no (10, 43, 219)-net in base 8, because
- 1 times m-reduction [i] would yield (10, 42, 219)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 88 687541 122984 760838 223823 654174 696675 > 842 [i]