Best Known (47−34, 47, s)-Nets in Base 25
(47−34, 47, 126)-Net over F25 — Constructive and digital
Digital (13, 47, 126)-net over F25, using
- t-expansion [i] based on digital (10, 47, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(47−34, 47, 2182)-Net in Base 25 — Upper bound on s
There is no (13, 47, 2183)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 507927 821167 584350 911069 674664 768645 554258 784480 593216 980309 298985 > 2547 [i]