Information on Result #732876
Linear OA(2569, 390713, F25, 15) (dual of [390713, 390644, 16]-code), using (u, u+v)-construction based on
- linear OA(2511, 78, F25, 7) (dual of [78, 67, 8]-code), using
- linear OA(2558, 390635, F25, 15) (dual of [390635, 390577, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(2557, 390626, F25, 15) (dual of [390626, 390569, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
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(2569, 195356, F25, 2, 15) (dual of [(195356, 2), 390643, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2569, 55816, F25, 15, 15) (dual of [(55816, 15), 837171, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |