Best Known (90−74, 90, s)-Nets in Base 25
(90−74, 90, 126)-Net over F25 — Constructive and digital
Digital (16, 90, 126)-net over F25, using
- t-expansion [i] based on digital (10, 90, 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
(90−74, 90, 150)-Net over F25 — Digital
Digital (16, 90, 150)-net over F25, using
- net from sequence [i] based on digital (16, 149)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 16 and N(F) ≥ 150, using
(90−74, 90, 1515)-Net in Base 25 — Upper bound on s
There is no (16, 90, 1516)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 660959 114275 362380 006646 681711 630225 595951 015062 266582 642245 660881 453601 343484 936387 048184 636269 895701 012544 029642 979480 081825 > 2590 [i]