Best Known (29, 29+32, s)-Nets in Base 256
(29, 29+32, 774)-Net over F256 — Constructive and digital
Digital (29, 61, 774)-net over F256, using
- generalized (u, u+v)-construction [i] based on
- digital (1, 11, 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, 33, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256 (see above)
- digital (1, 11, 258)-net over F256, using
(29, 29+32, 3082)-Net over F256 — Digital
Digital (29, 61, 3082)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25661, 3082, F256, 32) (dual of [3082, 3021, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(25661, 3855, F256, 32) (dual of [3855, 3794, 33]-code), using
(29, 29+32, large)-Net in Base 256 — Upper bound on s
There is no (29, 61, large)-net in base 256, because
- 30 times m-reduction [i] would yield (29, 31, large)-net in base 256, but