Best Known (41−16, 41, s)-Nets in Base 256
(41−16, 41, 8451)-Net over F256 — Constructive and digital
Digital (25, 41, 8451)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 10, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (15, 31, 8192)-net over F256, using
- net defined by OOA [i] based on linear OOA(25631, 8192, F256, 16, 16) (dual of [(8192, 16), 131041, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OA 8-folding and stacking [i] based on linear OA(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using
- net defined by OOA [i] based on linear OOA(25631, 8192, F256, 16, 16) (dual of [(8192, 16), 131041, 17]-NRT-code), using
- digital (2, 10, 259)-net over F256, using
(41−16, 41, 96335)-Net over F256 — Digital
Digital (25, 41, 96335)-net over F256, using
(41−16, 41, large)-Net in Base 256 — Upper bound on s
There is no (25, 41, large)-net in base 256, because
- 14 times m-reduction [i] would yield (25, 27, large)-net in base 256, but