Information on Result #693143
Linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 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(2567, 390681, F25, 15) (dual of [390681, 390614, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2568, 390707, F25, 15) (dual of [390707, 390639, 16]-code) | [i] | ||
| 3 | Linear OA(2569, 390710, F25, 15) (dual of [390710, 390641, 16]-code) | [i] | ||
| 4 | Linear OA(2570, 391257, F25, 15) (dual of [391257, 391187, 16]-code) | [i] | ||
| 5 | Linear OOA(2557, 195314, F25, 2, 15) (dual of [(195314, 2), 390571, 16]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2557, 55804, F25, 15, 15) (dual of [(55804, 15), 837003, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |