Information on Result #693262
Linear OA(25102, 390662, F25, 24) (dual of [390662, 390560, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
- linear OA(2593, 390625, F25, 24) (dual of [390625, 390532, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2565, 390625, F25, 17) (dual of [390625, 390560, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(259, 37, F25, 6) (dual of [37, 28, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(259, 49, F25, 6) (dual of [49, 40, 7]-code), using
- an extension Ce(5) of the narrow-sense BCH-code C(I) with length 48 | 252−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(259, 49, F25, 6) (dual of [49, 40, 7]-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 OOA(25102, 195331, F25, 2, 24) (dual of [(195331, 2), 390560, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25102, 32555, F25, 24, 24) (dual of [(32555, 24), 781218, 25]-NRT-code) | [i] | OA Folding and Stacking | |