Best Known (3, 66, s)-Nets in Base 25
(3, 66, 52)-Net over F25 — Constructive and digital
Digital (3, 66, 52)-net over F25, using
- net from sequence [i] based on digital (3, 51)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
(3, 66, 56)-Net over F25 — Digital
Digital (3, 66, 56)-net over F25, using
- net from sequence [i] based on digital (3, 55)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 56, using
(3, 66, 231)-Net in Base 25 — Upper bound on s
There is no (3, 66, 232)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(2566, 232, S25, 63), but
- the linear programming bound shows that M ≥ 1118 889963 753681 357590 812631 868370 662331 920443 718767 725317 738501 725683 616938 589182 154828 449711 203575 134277 343750 / 5 938572 640551 566737 > 2566 [i]