Information on Result #729649
Linear OA(4936, 804, F49, 19) (dual of [804, 768, 20]-code), using construction XX applied to C1 = C([17,34]), C2 = C([16,33]), C3 = C1 + C2 = C([17,33]), and C∩ = C1 ∩ C2 = C([16,34]) based on
- linear OA(4934, 800, F49, 18) (dual of [800, 766, 19]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {17,18,…,34}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4934, 800, F49, 18) (dual of [800, 766, 19]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {16,17,…,33}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4936, 800, F49, 19) (dual of [800, 764, 20]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {16,17,…,34}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(4932, 800, F49, 17) (dual of [800, 768, 18]-code), using the BCH-code C(I) with length 800 | 492−1, defining interval I = {17,18,…,33}, and designed minimum distance d ≥ |I|+1 = 18 [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(4936, 402, F49, 2, 19) (dual of [(402, 2), 768, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4936, 268, F49, 3, 19) (dual of [(268, 3), 768, 20]-NRT-code) | [i] | ||