Information on Result #693317
Linear OA(2526, 15633, F25, 9) (dual of [15633, 15607, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- 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(2519, 15626, F25, 7) (dual of [15626, 15607, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(2530, 15659, F25, 9) (dual of [15659, 15629, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2526, 13844, F25, 2, 9) (dual of [(13844, 2), 27662, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (17, 26, 13844)-net over F25 | [i] | ||
| 4 | Linear OOA(2526, 7816, F25, 2, 9) (dual of [(7816, 2), 15606, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2526, 3908, F25, 9, 9) (dual of [(3908, 9), 35146, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |