Best Known (3, 63, s)-Nets in Base 25
(3, 63, 52)-Net over F25 — Constructive and digital
Digital (3, 63, 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, 63, 56)-Net over F25 — Digital
Digital (3, 63, 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, 63, 238)-Net in Base 25 — Upper bound on s
There is no (3, 63, 239)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(2563, 239, S25, 60), but
- the linear programming bound shows that M ≥ 244555 699903 484593 996377 867617 207793 268568 062422 415117 141944 535983 743408 934232 288487 464757 054112 851619 720458 984375 / 20 489237 249368 288053 165599 > 2563 [i]