Best Known (108−50, 108, s)-Nets in Base 5
(108−50, 108, 132)-Net over F5 — Constructive and digital
Digital (58, 108, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 54, 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
(108−50, 108, 144)-Net over F5 — Digital
Digital (58, 108, 144)-net over F5, using
(108−50, 108, 2643)-Net in Base 5 — Upper bound on s
There is no (58, 108, 2644)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 3103 788827 901760 266180 031342 779362 458880 548186 013693 056711 140897 886689 649745 > 5108 [i]