Best Known (100, 142, s)-Nets in Base 5
(100, 142, 400)-Net over F5 — Constructive and digital
Digital (100, 142, 400)-net over F5, using
- 8 times m-reduction [i] based on digital (100, 150, 400)-net over F5, using
- trace code for nets [i] based on digital (25, 75, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- trace code for nets [i] based on digital (25, 75, 200)-net over F25, using
(100, 142, 1084)-Net over F5 — Digital
Digital (100, 142, 1084)-net over F5, using
(100, 142, 115543)-Net in Base 5 — Upper bound on s
There is no (100, 142, 115544)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1793 968669 639178 299436 996781 598532 207497 527732 248757 145053 604171 227806 133619 722915 826097 263390 138465 > 5142 [i]