Best Known (10, 25, s)-Nets in Base 256
(10, 25, 517)-Net over F256 — Constructive and digital
Digital (10, 25, 517)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 8, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (2, 17, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (1, 8, 258)-net over F256, using
(10, 25, 615)-Net over F256 — Digital
Digital (10, 25, 615)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25625, 615, F256, 15) (dual of [615, 590, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25625, 771, F256, 15) (dual of [771, 746, 16]-code), using
(10, 25, 2394421)-Net in Base 256 — Upper bound on s
There is no (10, 25, 2394422)-net in base 256, because
- 1 times m-reduction [i] would yield (10, 24, 2394422)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 6277 105522 047008 781596 424007 944320 111096 381844 870002 851096 > 25624 [i]