Best Known (3, 47, s)-Nets in Base 25
(3, 47, 52)-Net over F25 — Constructive and digital
Digital (3, 47, 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, 47, 56)-Net over F25 — Digital
Digital (3, 47, 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, 47, 276)-Net in Base 25 — Upper bound on s
There is no (3, 47, 277)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(2547, 277, S25, 44), but
- the linear programming bound shows that M ≥ 273 496656 353891 575578 243510 951536 261066 036198 404843 350628 912190 813935 012556 612491 607666 015625 / 525 227987 352972 039405 183377 > 2547 [i]