Best Known (15, 15+18, s)-Nets in Base 256
(15, 15+18, 771)-Net over F256 — Constructive and digital
Digital (15, 33, 771)-net over F256, using
- 1 times m-reduction [i] based on digital (15, 34, 771)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 6, 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, 9, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 19, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 6, 257)-net over F256, using
- generalized (u, u+v)-construction [i] based on
(15, 15+18, 1371)-Net over F256 — Digital
Digital (15, 33, 1371)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25633, 1371, F256, 18) (dual of [1371, 1338, 19]-code), using
(15, 15+18, large)-Net in Base 256 — Upper bound on s
There is no (15, 33, large)-net in base 256, because
- 16 times m-reduction [i] would yield (15, 17, large)-net in base 256, but