Best Known (73−50, 73, s)-Nets in Base 25
(73−50, 73, 148)-Net over F25 — Constructive and digital
Digital (23, 73, 148)-net over F25, using
- t-expansion [i] based on digital (19, 73, 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
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(73−50, 73, 176)-Net over F25 — Digital
Digital (23, 73, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(73−50, 73, 5108)-Net in Base 25 — Upper bound on s
There is no (23, 73, 5109)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 123820 370579 600399 929442 873889 172727 190881 093140 762701 005753 727449 319005 625739 458439 124336 859791 180601 > 2573 [i]