Information on Result #721390
Linear OA(1643, 89, F16, 26) (dual of [89, 46, 27]-code), using construction XX applied to C1 = C([5,29]), C2 = C([4,28]), C3 = C1 + C2 = C([5,28]), and C∩ = C1 ∩ C2 = C([4,29]) based on
- linear OA(1641, 85, F16, 25) (dual of [85, 44, 26]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,29}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1641, 85, F16, 25) (dual of [85, 44, 26]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {4,5,…,28}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1643, 85, F16, 26) (dual of [85, 42, 27]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {4,5,…,29}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1639, 85, F16, 24) (dual of [85, 46, 25]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {5,6,…,28}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(160, 2, F16, 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(1643, 44, F16, 2, 26) (dual of [(44, 2), 45, 27]-NRT-code) | [i] | OOA Folding | |