Best Known (76−56, 76, s)-Nets in Base 25
(76−56, 76, 148)-Net over F25 — Constructive and digital
Digital (20, 76, 148)-net over F25, using
- t-expansion [i] based on digital (19, 76, 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
(76−56, 76, 171)-Net over F25 — Digital
Digital (20, 76, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(76−56, 76, 2917)-Net in Base 25 — Upper bound on s
There is no (20, 76, 2918)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 17581 680179 900372 841136 823438 204757 916337 488854 489904 639817 261977 836965 817814 388391 050211 529770 326650 480705 > 2576 [i]