Best Known (48, 91, s)-Nets in Base 5
(48, 91, 82)-Net over F5 — Constructive and digital
Digital (48, 91, 82)-net over F5, using
- net from sequence [i] based on digital (48, 81)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 48 and N(F) ≥ 82, using
(48, 91, 117)-Net over F5 — Digital
Digital (48, 91, 117)-net over F5, using
(48, 91, 2132)-Net in Base 5 — Upper bound on s
There is no (48, 91, 2133)-net in base 5, because
- 1 times m-reduction [i] would yield (48, 90, 2133)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 810 087221 958530 538930 712626 526908 401895 005641 033979 164082 496325 > 590 [i]