Best Known (56−36, 56, s)-Nets in Base 25
(56−36, 56, 148)-Net over F25 — Constructive and digital
Digital (20, 56, 148)-net over F25, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(56−36, 56, 171)-Net over F25 — Digital
Digital (20, 56, 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
(56−36, 56, 7022)-Net in Base 25 — Upper bound on s
There is no (20, 56, 7023)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 1 928215 569573 668828 714504 101733 536698 186053 262353 245512 625599 384810 658245 885265 > 2556 [i]