Information on Result #693152
Linear OA(2533, 390629, F25, 9) (dual of [390629, 390596, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- linear OA(2533, 390625, F25, 9) (dual of [390625, 390592, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2529, 390625, F25, 8) (dual of [390625, 390596, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(2537, 390655, F25, 9) (dual of [390655, 390618, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2538, 390658, F25, 9) (dual of [390658, 390620, 10]-code) | [i] | ||
| 3 | Linear OA(2539, 391229, F25, 9) (dual of [391229, 391190, 10]-code) | [i] | ||
| 4 | Linear OA(2540, 391257, F25, 9) (dual of [391257, 391217, 10]-code) | [i] | ||
| 5 | Linear OOA(2533, 195314, F25, 2, 9) (dual of [(195314, 2), 390595, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2533, 97657, F25, 9, 9) (dual of [(97657, 9), 878880, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |