Information on Result #693242
Linear OA(25100, 390656, F25, 24) (dual of [390656, 390556, 25]-code), using construction X applied to Ce(23) ⊂ Ce(17) 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(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(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(25101, 390657, F25, 24) (dual of [390657, 390556, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(25100, 195328, F25, 2, 24) (dual of [(195328, 2), 390556, 25]-NRT-code) | [i] | OOA Folding | |