Best Known (31, 64, s)-Nets in Base 256
(31, 64, 775)-Net over F256 — Constructive and digital
Digital (31, 64, 775)-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 (2, 35, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (1, 12, 258)-net over F256, using
(31, 64, 3802)-Net over F256 — Digital
Digital (31, 64, 3802)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25664, 3802, F256, 33) (dual of [3802, 3738, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, 4369, F256, 33) (dual of [4369, 4305, 34]-code), using
(31, 64, large)-Net in Base 256 — Upper bound on s
There is no (31, 64, large)-net in base 256, because
- 31 times m-reduction [i] would yield (31, 33, large)-net in base 256, but