Best Known (17, 17+20, s)-Nets in Base 256
(17, 17+20, 772)-Net over F256 — Constructive and digital
Digital (17, 37, 772)-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, 10, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (1, 21, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (0, 6, 257)-net over F256, using
(17, 17+20, 1534)-Net over F256 — Digital
Digital (17, 37, 1534)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25637, 1534, F256, 20) (dual of [1534, 1497, 21]-code), using
(17, 17+20, large)-Net in Base 256 — Upper bound on s
There is no (17, 37, large)-net in base 256, because
- 18 times m-reduction [i] would yield (17, 19, large)-net in base 256, but