Best Known (27, 44, s)-Nets in Base 49
(27, 44, 450)-Net over F49 — Constructive and digital
Digital (27, 44, 450)-net over F49, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 1, 50)-net over F49, using
- s-reduction based on digital (0, 1, s)-net over F49 with arbitrarily large s, using
- digital (0, 2, 50)-net over F49, using
- digital (0, 2, 50)-net over F49 (see above)
- digital (0, 2, 50)-net over F49 (see above)
- digital (0, 3, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- digital (0, 4, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49 (see above)
- digital (0, 5, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49 (see above)
- digital (0, 8, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49 (see above)
- digital (0, 17, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49 (see above)
- digital (0, 1, 50)-net over F49, using
(27, 44, 6308)-Net over F49 — Digital
Digital (27, 44, 6308)-net over F49, using
(27, 44, large)-Net in Base 49 — Upper bound on s
There is no (27, 44, large)-net in base 49, because
- 15 times m-reduction [i] would yield (27, 29, large)-net in base 49, but