Best Known (10, 10+12, s)-Nets in Base 256
(10, 10+12, 771)-Net over F256 — Constructive and digital
Digital (10, 22, 771)-net over F256, using
- 1 times m-reduction [i] based on digital (10, 23, 771)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 4, 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, 6, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 13, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256 (see above)
- digital (0, 4, 257)-net over F256, using
- generalized (u, u+v)-construction [i] based on
(10, 10+12, 1359)-Net over F256 — Digital
Digital (10, 22, 1359)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25622, 1359, F256, 12) (dual of [1359, 1337, 13]-code), using
(10, 10+12, 7941361)-Net in Base 256 — Upper bound on s
There is no (10, 22, 7941362)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 95781 001688 816224 435782 396924 005862 493769 803809 813736 > 25622 [i]