Best Known (40, 95, s)-Nets in Base 16
(40, 95, 225)-Net over F16 — Constructive and digital
Digital (40, 95, 225)-net over F16, using
- net from sequence [i] based on digital (40, 224)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
(40, 95, 11320)-Net in Base 16 — Upper bound on s
There is no (40, 95, 11321)-net in base 16, because
- 1 times m-reduction [i] would yield (40, 94, 11321)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 154058 222792 965723 023234 985941 955096 661514 534373 584770 102499 500507 860221 015685 921327 773635 042245 219033 526414 613856 > 1694 [i]