Best Known (96, 131, s)-Nets in Base 5
(96, 131, 408)-Net over F5 — Constructive and digital
Digital (96, 131, 408)-net over F5, using
- 1 times m-reduction [i] based on digital (96, 132, 408)-net over F5, using
- trace code for nets [i] based on digital (30, 66, 204)-net over F25, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 30 and N(F) ≥ 204, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- trace code for nets [i] based on digital (30, 66, 204)-net over F25, using
(96, 131, 1686)-Net over F5 — Digital
Digital (96, 131, 1686)-net over F5, using
(96, 131, 397133)-Net in Base 5 — Upper bound on s
There is no (96, 131, 397134)-net in base 5, because
- 1 times m-reduction [i] would yield (96, 130, 397134)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 7 346986 793875 826927 021386 233657 811487 525934 727770 153816 342308 150590 234658 482450 147423 604025 > 5130 [i]