Information on Result #693654
Linear OA(2562, 15659, F25, 18) (dual of [15659, 15597, 19]-code), using construction X applied to Ce(17) ⊂ Ce(9) based on
- linear OA(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(2510, 34, F25, 7) (dual of [34, 24, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2510, 49, F25, 7) (dual of [49, 39, 8]-code), using
- an extension Ce(6) of the narrow-sense BCH-code C(I) with length 48 | 252−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2510, 49, F25, 7) (dual of [49, 39, 8]-code), 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 OOA(2562, 7829, F25, 2, 18) (dual of [(7829, 2), 15596, 19]-NRT-code) | [i] | OOA Folding | |