Best Known (83−60, 83, s)-Nets in Base 25
(83−60, 83, 148)-Net over F25 — Constructive and digital
Digital (23, 83, 148)-net over F25, using
- t-expansion [i] based on digital (19, 83, 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
(83−60, 83, 176)-Net over F25 — Digital
Digital (23, 83, 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
(83−60, 83, 3684)-Net in Base 25 — Upper bound on s
There is no (23, 83, 3685)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 107 477130 644298 008060 322148 460490 496936 825396 786087 974361 870144 119448 742038 377038 876851 536322 483887 944448 461739 448657 > 2583 [i]