Best Known (23, 38, s)-Nets in Base 256
(23, 38, 9621)-Net over F256 — Constructive and digital
Digital (23, 38, 9621)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (2, 9, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (14, 29, 9362)-net over F256, using
- net defined by OOA [i] based on linear OOA(25629, 9362, F256, 15, 15) (dual of [(9362, 15), 140401, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25629, 65535, F256, 15) (dual of [65535, 65506, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25629, 65535, F256, 15) (dual of [65535, 65506, 16]-code), using
- net defined by OOA [i] based on linear OOA(25629, 9362, F256, 15, 15) (dual of [(9362, 15), 140401, 16]-NRT-code), using
- digital (2, 9, 259)-net over F256, using
(23, 38, 81584)-Net over F256 — Digital
Digital (23, 38, 81584)-net over F256, using
(23, 38, large)-Net in Base 256 — Upper bound on s
There is no (23, 38, large)-net in base 256, because
- 13 times m-reduction [i] would yield (23, 25, large)-net in base 256, but