Information on Result #1818066
OA(2768, 824, S27, 27), using discarding parts of the base based on linear OA(8151, 824, F81, 27) (dual of [824, 773, 28]-code), using
- construction XX applied to C1 = C([27,52]), C2 = C([26,51]), C3 = C1 + C2 = C([27,51]), and C∩ = C1 ∩ C2 = C([26,52]) [i] based on
- linear OA(8149, 820, F81, 26) (dual of [820, 771, 27]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {27,28,…,52}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8149, 820, F81, 26) (dual of [820, 771, 27]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {26,27,…,51}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8151, 820, F81, 27) (dual of [820, 769, 28]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {26,27,…,52}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8147, 820, F81, 25) (dual of [820, 773, 26]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {27,28,…,51}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(810, 2, F81, 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(2769, 825, S27, 27) | [i] | Code Embedding in Larger Space | |