Information on Result #1821531
OA(12875, 775, S128, 39), using discarding parts of the base based on linear OA(25665, 775, F256, 39) (dual of [775, 710, 40]-code), using
- construction XX applied to C1 = C([239,276]), C2 = C([238,275]), C3 = C1 + C2 = C([239,275]), and C∩ = C1 ∩ C2 = C([238,276]) [i] based on
- linear OA(25663, 771, F256, 38) (dual of [771, 708, 39]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {239,240,…,276}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(25663, 771, F256, 38) (dual of [771, 708, 39]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {238,239,…,275}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(25665, 771, F256, 39) (dual of [771, 706, 40]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {238,239,…,276}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(25661, 771, F256, 37) (dual of [771, 710, 38]-code), using the BCH-code C(I) with length 771 | 2562−1, defining interval I = {239,240,…,275}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code) (see above)
Mode: Constructive.
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 | OA(12876, 776, S128, 39) | [i] | Code Embedding in Larger Space | |