Information on Result #693261
Linear OA(25107, 390663, F25, 26) (dual of [390663, 390556, 27]-code), using construction X applied to Ce(25) ⊂ Ce(17) based on
- linear OA(2597, 390625, F25, 26) (dual of [390625, 390528, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2569, 390625, F25, 18) (dual of [390625, 390556, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2510, 38, F25, 7) (dual of [38, 28, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2510, 49, F25, 7) (dual of [49, 39, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 48 | 252−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2510, 49, F25, 7) (dual of [49, 39, 8]-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(25106, 390662, F25, 25) (dual of [390662, 390556, 26]-code) | [i] | Truncation | |
| 2 | Linear OOA(25107, 195331, F25, 2, 26) (dual of [(195331, 2), 390555, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25107, 30051, F25, 26, 26) (dual of [(30051, 26), 781219, 27]-NRT-code) | [i] | OA Folding and Stacking | |