Best Known (39−23, 39, s)-Nets in Base 256
(39−23, 39, 519)-Net over F256 — Constructive and digital
Digital (16, 39, 519)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 13, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (3, 26, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- digital (2, 13, 259)-net over F256, using
(39−23, 39, 767)-Net over F256 — Digital
Digital (16, 39, 767)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25639, 767, F256, 23) (dual of [767, 728, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(25639, 771, F256, 23) (dual of [771, 732, 24]-code), using
(39−23, 39, 4016500)-Net in Base 256 — Upper bound on s
There is no (16, 39, 4016501)-net in base 256, because
- 1 times m-reduction [i] would yield (16, 38, 4016501)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 32 592594 901257 483647 052938 354691 436987 056265 355474 320767 903490 288589 305166 600540 245325 876056 > 25638 [i]