Best Known (89−89, 89, s)-Nets in Base 25
(89−89, 89, 26)-Net over F25 — Constructive and digital
Digital (0, 89, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
(89−89, 89, 26)-Net in Base 25 — Upper bound on s
There is no (0, 89, 27)-net in base 25, because
- 86 times m-reduction [i] would yield (0, 3, 27)-net in base 25, but
- extracting embedded orthogonal array [i] would yield OA(253, 27, S25, 3), but