Best Known (74, 74+46, s)-Nets in Base 5
(74, 74+46, 252)-Net over F5 — Constructive and digital
Digital (74, 120, 252)-net over F5, using
- 8 times m-reduction [i] based on digital (74, 128, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 64, 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
- trace code for nets [i] based on digital (10, 64, 126)-net over F25, using
(74, 74+46, 311)-Net over F5 — Digital
Digital (74, 120, 311)-net over F5, using
(74, 74+46, 10435)-Net in Base 5 — Upper bound on s
There is no (74, 120, 10436)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 753666 304542 239037 914647 922910 257580 094025 392549 532663 853597 763791 704965 942773 563025 > 5120 [i]