Information on Result #722807
Linear OA(2524, 212, F25, 13) (dual of [212, 188, 14]-code), using construction XX applied to C1 = C([7,18]), C2 = C([6,17]), C3 = C1 + C2 = C([7,17]), and C∩ = C1 ∩ C2 = C([6,18]) based on
- linear OA(2522, 208, F25, 12) (dual of [208, 186, 13]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {7,8,…,18}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2522, 208, F25, 12) (dual of [208, 186, 13]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {6,7,…,17}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2524, 208, F25, 13) (dual of [208, 184, 14]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {6,7,…,18}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2520, 208, F25, 11) (dual of [208, 188, 12]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {7,8,…,17}, and designed minimum distance d ≥ |I|+1 = 12 [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(2574, 838, F25, 27) (dual of [838, 764, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25100, 15840, F25, 27) (dual of [15840, 15740, 28]-code) | [i] | ||
| 3 | Linear OOA(2524, 106, F25, 2, 13) (dual of [(106, 2), 188, 14]-NRT-code) | [i] | OOA Folding | |