Best Known (27, 27+29, s)-Nets in Base 256
(27, 27+29, 775)-Net over F256 — Constructive and digital
Digital (27, 56, 775)-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, 15, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (2, 31, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (1, 10, 258)-net over F256, using
(27, 27+29, 3435)-Net over F256 — Digital
Digital (27, 56, 3435)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25656, 3435, F256, 29) (dual of [3435, 3379, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(25656, 4369, F256, 29) (dual of [4369, 4313, 30]-code), using
(27, 27+29, large)-Net in Base 256 — Upper bound on s
There is no (27, 56, large)-net in base 256, because
- 27 times m-reduction [i] would yield (27, 29, large)-net in base 256, but