Information on Result #693312
Linear OA(2556, 15633, F25, 19) (dual of [15633, 15577, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,8]) based on
- linear OA(2555, 15626, F25, 19) (dual of [15626, 15571, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(2549, 15626, F25, 17) (dual of [15626, 15577, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(2569, 15699, F25, 19) (dual of [15699, 15630, 20]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2556, 9957, F25, 2, 19) (dual of [(9957, 2), 19858, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (37, 56, 9957)-net over F25 | [i] | ||
| 4 | Linear OOA(2556, 7816, F25, 2, 19) (dual of [(7816, 2), 15576, 20]-NRT-code) | [i] | OOA Folding | |