Best Known (40−22, 40, s)-Nets in Base 256
(40−22, 40, 771)-Net over F256 — Constructive and digital
Digital (18, 40, 771)-net over F256, using
- 1 times m-reduction [i] based on digital (18, 41, 771)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 7, 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, 11, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 23, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 7, 257)-net over F256, using
- generalized (u, u+v)-construction [i] based on
(40−22, 40, 1352)-Net over F256 — Digital
Digital (18, 40, 1352)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25640, 1352, F256, 22) (dual of [1352, 1312, 23]-code), using
(40−22, 40, large)-Net in Base 256 — Upper bound on s
There is no (18, 40, large)-net in base 256, because
- 20 times m-reduction [i] would yield (18, 20, large)-net in base 256, but