Best Known (132−62, 132, s)-Nets in Base 5
(132−62, 132, 132)-Net over F5 — Constructive and digital
Digital (70, 132, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 66, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(132−62, 132, 162)-Net over F5 — Digital
Digital (70, 132, 162)-net over F5, using
(132−62, 132, 2916)-Net in Base 5 — Upper bound on s
There is no (70, 132, 2917)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 184 574943 151815 297476 210579 638090 622583 405473 980385 005869 120702 878212 520143 620680 688847 458077 > 5132 [i]