Best Known (120−50, 120, s)-Nets in Base 5
(120−50, 120, 252)-Net over F5 — Constructive and digital
Digital (70, 120, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 60, 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
(120−50, 120, 5744)-Net in Base 5 — Upper bound on s
There is no (70, 120, 5745)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 754225 991875 026947 095942 694001 168614 771314 344483 289757 441735 200701 568811 934959 830501 > 5120 [i]