Information on Result #693453
Linear OA(2531, 15628, F25, 11) (dual of [15628, 15597, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(2531, 15625, F25, 11) (dual of [15625, 15594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-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(2536, 15654, F25, 11) (dual of [15654, 15618, 12]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2537, 15657, F25, 11) (dual of [15657, 15620, 12]-code) | [i] | ||
| 3 | Linear OA(2538, 16229, F25, 11) (dual of [16229, 16191, 12]-code) | [i] | ||
| 4 | Linear OA(2540, 16256, F25, 11) (dual of [16256, 16216, 12]-code) | [i] | ||
| 5 | Linear OOA(2531, 7814, F25, 2, 11) (dual of [(7814, 2), 15597, 12]-NRT-code) | [i] | OOA Folding | |