Information on Result #729479
Linear OA(4925, 154, F49, 15) (dual of [154, 129, 16]-code), using construction XX applied to C1 = C([19,32]), C2 = C([18,31]), C3 = C1 + C2 = C([19,31]), and C∩ = C1 ∩ C2 = C([18,32]) based on
- linear OA(4923, 150, F49, 14) (dual of [150, 127, 15]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {19,20,…,32}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4923, 150, F49, 14) (dual of [150, 127, 15]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {18,19,…,31}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4925, 150, F49, 15) (dual of [150, 125, 16]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {18,19,…,32}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4921, 150, F49, 13) (dual of [150, 129, 14]-code), using the BCH-code C(I) with length 150 | 492−1, defining interval I = {19,20,…,31}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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(4925, 77, F49, 2, 15) (dual of [(77, 2), 129, 16]-NRT-code) | [i] | OOA Folding | |