Best Known (83−64, 83, s)-Nets in Base 25
(83−64, 83, 148)-Net over F25 — Constructive and digital
Digital (19, 83, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(83−64, 83, 162)-Net over F25 — Digital
Digital (19, 83, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(83−64, 83, 2235)-Net in Base 25 — Upper bound on s
There is no (19, 83, 2236)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 108 079325 941776 557078 386006 777723 765501 239544 572865 219414 134883 884911 315962 058314 112027 112087 657102 090788 309189 090305 > 2583 [i]