Information on Result #722730
Linear OA(2513, 80, F25, 8) (dual of [80, 67, 9]-code), using construction X applied to C([9,16]) ⊂ C([10,16]) based on
- linear OA(2513, 78, F25, 8) (dual of [78, 65, 9]-code), using the BCH-code C(I) with length 78 | 252−1, defining interval I = {9,10,…,16}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2511, 78, F25, 7) (dual of [78, 67, 8]-code), using the BCH-code C(I) with length 78 | 252−1, defining interval I = {10,11,…,16}, and designed minimum distance d ≥ |I|+1 = 8 [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(2546, 708, F25, 17) (dual of [708, 662, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2562, 15708, F25, 17) (dual of [15708, 15646, 18]-code) | [i] | ||
| 3 | Linear OA(2578, 390709, F25, 17) (dual of [390709, 390631, 18]-code) | [i] | ||
| 4 | Linear OA(2544, 708, F25, 16) (dual of [708, 664, 17]-code) | [i] | ||
| 5 | Linear OA(2559, 15708, F25, 16) (dual of [15708, 15649, 17]-code) | [i] | ||
| 6 | Linear OA(2574, 390709, F25, 16) (dual of [390709, 390635, 17]-code) | [i] | ||
| 7 | Linear OOA(2513, 40, F25, 2, 8) (dual of [(40, 2), 67, 9]-NRT-code) | [i] | OOA Folding | |