Best Known (81−58, 81, s)-Nets in Base 25
(81−58, 81, 148)-Net over F25 — Constructive and digital
Digital (23, 81, 148)-net over F25, using
- t-expansion [i] based on digital (19, 81, 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
(81−58, 81, 176)-Net over F25 — Digital
Digital (23, 81, 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
(81−58, 81, 3888)-Net in Base 25 — Upper bound on s
There is no (23, 81, 3889)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 171395 843326 411222 126147 454258 533108 478863 605107 490042 637697 758760 909947 127265 283963 800439 570367 696489 359586 762425 > 2581 [i]