Information on Result #721094
Linear OA(944, 828, F9, 13) (dual of [828, 784, 14]-code), using construction XX applied to C1 = C([97,108]), C2 = C([96,107]), C3 = C1 + C2 = C([97,107]), and C∩ = C1 ∩ C2 = C([96,108]) based on
- linear OA(940, 820, F9, 12) (dual of [820, 780, 13]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {97,98,…,108}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(940, 820, F9, 12) (dual of [820, 780, 13]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {96,97,…,107}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(944, 820, F9, 13) (dual of [820, 776, 14]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {96,97,…,108}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(936, 820, F9, 11) (dual of [820, 784, 12]-code), using the BCH-code C(I) with length 820 | 94−1, defining interval I = {97,98,…,107}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 4, F9, 0) (dual of [4, 4, 1]-code) (see above)
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(944, 414, F9, 2, 13) (dual of [(414, 2), 784, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(944, 276, F9, 3, 13) (dual of [(276, 3), 784, 14]-NRT-code) | [i] | ||