Best Known (32−19, 32, s)-Nets in Base 256
(32−19, 32, 518)-Net over F256 — Constructive and digital
Digital (13, 32, 518)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 11, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (2, 21, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256 (see above)
- digital (2, 11, 259)-net over F256, using
(32−19, 32, 686)-Net over F256 — Digital
Digital (13, 32, 686)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25632, 686, F256, 19) (dual of [686, 654, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25632, 771, F256, 19) (dual of [771, 739, 20]-code), using
(32−19, 32, 3208185)-Net in Base 256 — Upper bound on s
There is no (13, 32, 3208186)-net in base 256, because
- 1 times m-reduction [i] would yield (13, 31, 3208186)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 452 313303 073086 816294 366302 139839 121208 478625 829028 679087 685614 695993 323021 > 25631 [i]