Information on Result #1824852
(44, 72, 4683)-net in base 128, using base change based on digital (35, 63, 4683)-net over F256, using
- net defined by OOA [i] based on linear OOA(25663, 4683, F256, 28, 28) (dual of [(4683, 28), 131061, 29]-NRT-code), using
- OA 14-folding and stacking [i] based on linear OA(25663, 65562, F256, 28) (dual of [65562, 65499, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(18) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(2568, 26, F256, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,256)), using
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- Reed–Solomon code RS(248,256) [i]
- discarding factors / shortening the dual code based on linear OA(2568, 256, F256, 8) (dual of [256, 248, 9]-code or 256-arc in PG(7,256)), using
- construction X applied to Ce(27) ⊂ Ce(18) [i] based on
- OA 14-folding and stacking [i] based on linear OA(25663, 65562, F256, 28) (dual of [65562, 65499, 29]-code), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | (45, 73, 4683)-net in base 128 | [i] | Net Duplication | |
| 2 | (46, 74, 4683)-net in base 128 | [i] | ||