Best Known (19, 19+32, s)-Nets in Base 25
(19, 19+32, 148)-Net over F25 — Constructive and digital
Digital (19, 51, 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
(19, 19+32, 162)-Net over F25 — Digital
Digital (19, 51, 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
(19, 19+32, 8087)-Net in Base 25 — Upper bound on s
There is no (19, 51, 8088)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 197346 593478 838546 339668 632480 781025 482175 005354 109446 538358 057434 205185 > 2551 [i]