Information on Result #722724
Linear OA(259, 54, F25, 6) (dual of [54, 45, 7]-code), using construction X applied to C([10,15]) ⊂ C([11,15]) based on
- linear OA(259, 52, F25, 6) (dual of [52, 43, 7]-code), using the BCH-code C(I) with length 52 | 252−1, defining interval I = {10,11,…,15}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(257, 52, F25, 5) (dual of [52, 45, 6]-code), using the BCH-code C(I) with length 52 | 252−1, defining interval I = {11,12,13,14,15}, and designed minimum distance d ≥ |I|+1 = 6 [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
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(2534, 682, F25, 13) (dual of [682, 648, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2546, 15682, F25, 13) (dual of [15682, 15636, 14]-code) | [i] | ||
| 3 | Linear OA(2558, 390683, F25, 13) (dual of [390683, 390625, 14]-code) | [i] | ||
| 4 | Linear OA(2532, 682, F25, 12) (dual of [682, 650, 13]-code) | [i] | ||
| 5 | Linear OA(2543, 15682, F25, 12) (dual of [15682, 15639, 13]-code) | [i] | ||
| 6 | Linear OA(2554, 390683, F25, 12) (dual of [390683, 390629, 13]-code) | [i] | ||