Information on Result #880407
Linear OOA(25663, 32781, F256, 2, 28) (dual of [(32781, 2), 65499, 29]-NRT-code), using OOA 2-folding 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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(25663, 29993, F256, 3, 28) (dual of [(29993, 3), 89916, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25663, 29993, F256, 4, 28) (dual of [(29993, 4), 119909, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(25663, 29993, F256, 5, 28) (dual of [(29993, 5), 149902, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(25663, 29993, F256, 6, 28) (dual of [(29993, 6), 179895, 29]-NRT-code) | [i] | ||
| 5 | Digital (35, 63, 29993)-net over F256 | [i] | ||