Best Known (29−16, 29, s)-Nets in Base 256
(29−16, 29, 771)-Net over F256 — Constructive and digital
Digital (13, 29, 771)-net over F256, using
- 1 times m-reduction [i] based on digital (13, 30, 771)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 5, 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, 8, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 17, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 5, 257)-net over F256, using
- generalized (u, u+v)-construction [i] based on
(29−16, 29, 1300)-Net over F256 — Digital
Digital (13, 29, 1300)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25629, 1300, F256, 16) (dual of [1300, 1271, 17]-code), using
(29−16, 29, 7925370)-Net in Base 256 — Upper bound on s
There is no (13, 29, 7925371)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 6901 750883 554126 532838 170881 991747 788913 019877 362480 132359 379259 796791 > 25629 [i]