Information on Result #693485
Linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(2534, 15658, F25, 10) (dual of [15658, 15624, 11]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2536, 16233, F25, 10) (dual of [16233, 16197, 11]-code) | [i] | ||
| 3 | Linear OOA(2529, 12250, F25, 2, 10) (dual of [(12250, 2), 24471, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (19, 29, 12250)-net over F25 | [i] | ||
| 5 | Linear OOA(2529, 7816, F25, 2, 10) (dual of [(7816, 2), 15603, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2529, 3126, F25, 10, 10) (dual of [(3126, 10), 31231, 11]-NRT-code) | [i] | OA Folding and Stacking | |