Best Known (30, 63, s)-Nets in Base 256
(30, 63, 774)-Net over F256 — Constructive and digital
Digital (30, 63, 774)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (1, 12, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (1, 17, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 34, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 12, 258)-net over F256, using
(30, 63, 3177)-Net over F256 — Digital
Digital (30, 63, 3177)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25663, 3177, F256, 33) (dual of [3177, 3114, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(25663, 3855, F256, 33) (dual of [3855, 3792, 34]-code), using
(30, 63, large)-Net in Base 256 — Upper bound on s
There is no (30, 63, large)-net in base 256, because
- 31 times m-reduction [i] would yield (30, 32, large)-net in base 256, but