Information on Result #693484
Linear OA(2535, 15632, F25, 12) (dual of [15632, 15597, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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(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(2541, 15658, F25, 12) (dual of [15658, 15617, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2542, 15661, F25, 12) (dual of [15661, 15619, 13]-code) | [i] | ||
| 3 | Linear OOA(2535, 10680, F25, 2, 12) (dual of [(10680, 2), 21325, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (23, 35, 10680)-net over F25 | [i] | ||
| 5 | Linear OOA(2535, 7816, F25, 2, 12) (dual of [(7816, 2), 15597, 13]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2535, 2605, F25, 12, 12) (dual of [(2605, 12), 31225, 13]-NRT-code) | [i] | OA Folding and Stacking | |