Best Known (19, 56, s)-Nets in Base 25
(19, 56, 148)-Net over F25 — Constructive and digital
Digital (19, 56, 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, 56, 162)-Net over F25 — Digital
Digital (19, 56, 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, 56, 5871)-Net in Base 25 — Upper bound on s
There is no (19, 56, 5872)-net in base 25, because
- 1 times m-reduction [i] would yield (19, 55, 5872)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 77252 105236 888555 213846 640416 995118 468612 874853 800635 937658 804294 399499 432705 > 2555 [i]