Best Known (33, 33+35, s)-Nets in Base 256
(33, 33+35, 776)-Net over F256 — Constructive and digital
Digital (33, 68, 776)-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 (2, 19, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (2, 37, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256 (see above)
- digital (1, 12, 258)-net over F256, using
(33, 33+35, 3987)-Net over F256 — Digital
Digital (33, 68, 3987)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25668, 3987, F256, 35) (dual of [3987, 3919, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(25668, 4370, F256, 35) (dual of [4370, 4302, 36]-code), using
(33, 33+35, large)-Net in Base 256 — Upper bound on s
There is no (33, 68, large)-net in base 256, because
- 33 times m-reduction [i] would yield (33, 35, large)-net in base 256, but