Information on Result #693059
Linear OA(2566, 390635, F25, 17) (dual of [390635, 390569, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,7]) based on
- linear OA(2565, 390626, F25, 17) (dual of [390626, 390561, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 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(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
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(2566, 305693, F25, 2, 17) (dual of [(305693, 2), 611320, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (49, 66, 305693)-net over F25 | [i] | ||
| 3 | Linear OOA(2566, 195317, F25, 2, 17) (dual of [(195317, 2), 390568, 18]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2566, 48829, F25, 17, 17) (dual of [(48829, 17), 830027, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |