Best Known (47, 90, s)-Nets in Base 5
(47, 90, 78)-Net over F5 — Constructive and digital
Digital (47, 90, 78)-net over F5, using
- t-expansion [i] based on digital (38, 90, 78)-net over F5, using
- net from sequence [i] based on digital (38, 77)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 38 and N(F) ≥ 78, using
- net from sequence [i] based on digital (38, 77)-sequence over F5, using
(47, 90, 112)-Net over F5 — Digital
Digital (47, 90, 112)-net over F5, using
(47, 90, 1974)-Net in Base 5 — Upper bound on s
There is no (47, 90, 1975)-net in base 5, because
- 1 times m-reduction [i] would yield (47, 89, 1975)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 162 848435 982453 642127 192664 900138 322819 138589 180917 382381 301901 > 589 [i]