Best Known (30, 30+32, s)-Nets in Base 256
(30, 30+32, 775)-Net over F256 — Constructive and digital
Digital (30, 62, 775)-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 (2, 34, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (1, 11, 258)-net over F256, using
(30, 30+32, 3710)-Net over F256 — Digital
Digital (30, 62, 3710)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25662, 3710, F256, 32) (dual of [3710, 3648, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(25662, 4369, F256, 32) (dual of [4369, 4307, 33]-code), using
(30, 30+32, large)-Net in Base 256 — Upper bound on s
There is no (30, 62, large)-net in base 256, because
- 30 times m-reduction [i] would yield (30, 32, large)-net in base 256, but