Best Known (1, 1+4, s)-Nets in Base 25
(1, 1+4, 27)-Net over F25 — Constructive and digital
Digital (1, 5, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
(1, 1+4, 36)-Net over F25 — Digital
Digital (1, 5, 36)-net over F25, using
- net from sequence [i] based on digital (1, 35)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 1 and N(F) ≥ 36, using
(1, 1+4, 181)-Net in Base 25 — Upper bound on s
There is no (1, 5, 182)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(255, 182, S25, 4), but
- the linear programming bound shows that M ≥ 1 005484 453125 / 102709 > 255 [i]