Information on Result #693105
Linear OA(2572, 390657, F25, 17) (dual of [390657, 390585, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
- linear OA(2565, 390626, F25, 17) (dual of [390626, 390561, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2541, 390626, F25, 11) (dual of [390626, 390585, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(257, 31, F25, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(257, 52, F25, 5) (dual of [52, 45, 6]-code), 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(2573, 390658, F25, 17) (dual of [390658, 390585, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(2572, 195328, F25, 2, 17) (dual of [(195328, 2), 390584, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2572, 48832, F25, 17, 17) (dual of [(48832, 17), 830072, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |