Best Known (21, 44, s)-Nets in Base 256
(21, 44, 774)-Net over F256 — Constructive and digital
Digital (21, 44, 774)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (1, 8, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 12, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 24, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 8, 258)-net over F256, using
(21, 44, 2895)-Net over F256 — Digital
Digital (21, 44, 2895)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25644, 2895, F256, 23) (dual of [2895, 2851, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(25644, 4369, F256, 23) (dual of [4369, 4325, 24]-code), using
(21, 44, large)-Net in Base 256 — Upper bound on s
There is no (21, 44, large)-net in base 256, because
- 21 times m-reduction [i] would yield (21, 23, large)-net in base 256, but