Best Known (30−16, 30, s)-Nets in Base 256
(30−16, 30, 772)-Net over F256 — Constructive and digital
Digital (14, 30, 772)-net over F256, using
- 1 times m-reduction [i] based on digital (14, 31, 772)-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 (1, 18, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (0, 5, 257)-net over F256, using
- generalized (u, u+v)-construction [i] based on
(30−16, 30, 2303)-Net over F256 — Digital
Digital (14, 30, 2303)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25630, 2303, F256, 16) (dual of [2303, 2273, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25630, 3855, F256, 16) (dual of [3855, 3825, 17]-code), using
(30−16, 30, large)-Net in Base 256 — Upper bound on s
There is no (14, 30, large)-net in base 256, because
- 14 times m-reduction [i] would yield (14, 16, large)-net in base 256, but