Information on Result #722751
Linear OA(2527, 160, F25, 15) (dual of [160, 133, 16]-code), using construction XX applied to C1 = C([7,20]), C2 = C([6,19]), C3 = C1 + C2 = C([7,19]), and C∩ = C1 ∩ C2 = C([6,20]) based on
- linear OA(2525, 156, F25, 14) (dual of [156, 131, 15]-code), using the BCH-code C(I) with length 156 | 252−1, defining interval I = {7,8,…,20}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2525, 156, F25, 14) (dual of [156, 131, 15]-code), using the BCH-code C(I) with length 156 | 252−1, defining interval I = {6,7,…,19}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2527, 156, F25, 15) (dual of [156, 129, 16]-code), using the BCH-code C(I) with length 156 | 252−1, defining interval I = {6,7,…,20}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(2523, 156, F25, 13) (dual of [156, 133, 14]-code), using the BCH-code C(I) with length 156 | 252−1, defining interval I = {7,8,…,19}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 2, F25, 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 OA(2585, 788, F25, 31) (dual of [788, 703, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2583, 788, F25, 30) (dual of [788, 705, 31]-code) | [i] | ||
| 3 | Linear OOA(2527, 80, F25, 2, 15) (dual of [(80, 2), 133, 16]-NRT-code) | [i] | OOA Folding | |