Best Known (47, 47+36, s)-Nets in Base 25
(47, 47+36, 288)-Net over F25 — Constructive and digital
Digital (47, 83, 288)-net over F25, using
- t-expansion [i] based on digital (41, 83, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
(47, 47+36, 1215)-Net over F25 — Digital
Digital (47, 83, 1215)-net over F25, using
(47, 47+36, 878963)-Net in Base 25 — Upper bound on s
There is no (47, 83, 878964)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 106 911193 926387 223454 165417 811013 486131 689952 661474 877626 120743 056487 972011 326292 182038 762966 299586 994797 893749 744705 > 2583 [i]