Best Known (86−34, 86, s)-Nets in Base 5
(86−34, 86, 208)-Net over F5 — Constructive and digital
Digital (52, 86, 208)-net over F5, using
- trace code for nets [i] based on digital (9, 43, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
(86−34, 86, 212)-Net over F5 — Digital
Digital (52, 86, 212)-net over F5, using
(86−34, 86, 6151)-Net in Base 5 — Upper bound on s
There is no (52, 86, 6152)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 293912 484808 901952 236925 974045 524840 544954 747606 462500 027425 > 586 [i]