Best Known (3, 44, s)-Nets in Base 25
(3, 44, 52)-Net over F25 — Constructive and digital
Digital (3, 44, 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, 44, 56)-Net over F25 — Digital
Digital (3, 44, 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, 44, 280)-Net in Base 25 — Upper bound on s
There is no (3, 44, 281)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(2544, 281, S25, 41), but
- the linear programming bound shows that M ≥ 63681 490899 544937 962371 354650 362881 446136 811836 034041 789389 448240 399360 656738 281250 000000 / 1931 554794 829786 059013 835411 > 2544 [i]