Best Known (60, 60+40, s)-Nets in Base 5
(60, 60+40, 252)-Net over F5 — Constructive and digital
Digital (60, 100, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 50, 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
(60, 60+40, 6473)-Net in Base 5 — Upper bound on s
There is no (60, 100, 6474)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 7905 798231 211865 507617 428746 203479 744716 919161 859821 127661 520307 673921 > 5100 [i]