Information on Result #693061
Linear OA(2550, 390635, F25, 13) (dual of [390635, 390585, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,5]) based on
- 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(2541, 390626, F25, 11) (dual of [390626, 390585, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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 OA(2556, 390661, F25, 13) (dual of [390661, 390605, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2557, 390664, F25, 13) (dual of [390664, 390607, 14]-code) | [i] | ||
| 3 | Linear OOA(2550, 345131, F25, 2, 13) (dual of [(345131, 2), 690212, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (37, 50, 345131)-net over F25 | [i] | ||
| 5 | Linear OOA(2550, 195317, F25, 2, 13) (dual of [(195317, 2), 390584, 14]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2550, 65105, F25, 13, 13) (dual of [(65105, 13), 846315, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |