Best Known (57−31, 57, s)-Nets in Base 256
(57−31, 57, 772)-Net over F256 — Constructive and digital
Digital (26, 57, 772)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 10, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- digital (0, 15, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (1, 32, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (0, 10, 257)-net over F256, using
(57−31, 57, 1793)-Net over F256 — Digital
Digital (26, 57, 1793)-net over F256, using
(57−31, 57, large)-Net in Base 256 — Upper bound on s
There is no (26, 57, large)-net in base 256, because
- 29 times m-reduction [i] would yield (26, 28, large)-net in base 256, but