Best Known (47−26, 47, s)-Nets in Base 256
(47−26, 47, 771)-Net over F256 — Constructive and digital
Digital (21, 47, 771)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 8, 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, 13, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 26, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 8, 257)-net over F256, using
(47−26, 47, 1369)-Net over F256 — Digital
Digital (21, 47, 1369)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25647, 1369, F256, 26) (dual of [1369, 1322, 27]-code), using
(47−26, 47, large)-Net in Base 256 — Upper bound on s
There is no (21, 47, large)-net in base 256, because
- 24 times m-reduction [i] would yield (21, 23, large)-net in base 256, but