Best Known (96−38, 96, s)-Nets in Base 5
(96−38, 96, 252)-Net over F5 — Constructive and digital
Digital (58, 96, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 48, 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
(96−38, 96, 6728)-Net in Base 5 — Upper bound on s
There is no (58, 96, 6729)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 12 645526 075269 825812 633642 243691 015484 288366 153509 450434 193528 207325 > 596 [i]