Information on Result #693316
Linear OA(2532, 15633, F25, 11) (dual of [15633, 15601, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,4]) based on
- linear OA(2531, 15626, F25, 11) (dual of [15626, 15595, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2525, 15626, F25, 9) (dual of [15626, 15601, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 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(2537, 15659, F25, 11) (dual of [15659, 15622, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2539, 16234, F25, 11) (dual of [16234, 16195, 12]-code) | [i] | ||
| 3 | Linear OOA(2532, 11285, F25, 2, 11) (dual of [(11285, 2), 22538, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (21, 32, 11285)-net over F25 | [i] | ||
| 5 | Linear OOA(2532, 7816, F25, 2, 11) (dual of [(7816, 2), 15600, 12]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2532, 3126, F25, 11, 11) (dual of [(3126, 11), 34354, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |