Best Known (15−11, 15, s)-Nets in Base 8
(15−11, 15, 25)-Net over F8 — Constructive and digital
Digital (4, 15, 25)-net over F8, using
- net from sequence [i] based on digital (4, 24)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
(15−11, 15, 123)-Net in Base 8 — Upper bound on s
There is no (4, 15, 124)-net in base 8, because
- 1 times m-reduction [i] would yield (4, 14, 124)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 4 571754 924766 > 814 [i]