Best Known (52−27, 52, s)-Nets in Base 256
(52−27, 52, 774)-Net over F256 — Constructive and digital
Digital (25, 52, 774)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (1, 10, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 14, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 28, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 10, 258)-net over F256, using
(52−27, 52, 3254)-Net over F256 — Digital
Digital (25, 52, 3254)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25652, 3254, F256, 27) (dual of [3254, 3202, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(25652, 4369, F256, 27) (dual of [4369, 4317, 28]-code), using
(52−27, 52, large)-Net in Base 256 — Upper bound on s
There is no (25, 52, large)-net in base 256, because
- 25 times m-reduction [i] would yield (25, 27, large)-net in base 256, but