Information on Result #2288031
Linear OA(2581, 390658, F25, 19) (dual of [390658, 390577, 20]-code), using 1 times code embedding in larger space based on linear OA(2580, 390657, F25, 19) (dual of [390657, 390577, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,6]) [i] based on
- linear OA(2573, 390626, F25, 19) (dual of [390626, 390553, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2549, 390626, F25, 13) (dual of [390626, 390577, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [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 OOA(2581, 195329, F25, 2, 19) (dual of [(195329, 2), 390577, 20]-NRT-code) | [i] | OOA Folding | |