Information on Result #729656
Linear OA(4942, 804, F49, 22) (dual of [804, 762, 23]-code), using construction XX applied to C1 = C([14,34]), C2 = C([13,33]), C3 = C1 + C2 = C([14,33]), and C∩ = C1 ∩ C2 = C([13,34]) based on
- linear OA(4940, 800, F49, 21) (dual of [800, 760, 22]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {14,15,…,34}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4940, 800, F49, 21) (dual of [800, 760, 22]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {13,14,…,33}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(4942, 800, F49, 22) (dual of [800, 758, 23]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {13,14,…,34}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(4938, 800, F49, 20) (dual of [800, 762, 21]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {14,15,…,33}, and designed minimum distance d ≥ |I|+1 = 21 [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(4942, 402, F49, 2, 22) (dual of [(402, 2), 762, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4942, 268, F49, 3, 22) (dual of [(268, 3), 762, 23]-NRT-code) | [i] | ||