Information on Result #694693
Linear OA(2548, 210, F25, 27) (dual of [210, 162, 28]-code), using construction X applied to Ce(26) ⊂ Ce(25) based on
- linear OA(2548, 209, F25, 27) (dual of [209, 161, 28]-code), using an extension Ce(26) of the narrow-sense BCH-code C(I) with length 208 | 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2547, 209, F25, 26) (dual of [209, 162, 27]-code), using an extension Ce(25) of the narrow-sense BCH-code C(I) with length 208 | 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(250, 1, F25, 0) (dual of [1, 1, 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(2546, 208, F25, 25) (dual of [208, 162, 26]-code) | [i] | Truncation | |
| 2 | Linear OOA(2548, 105, F25, 2, 27) (dual of [(105, 2), 162, 28]-NRT-code) | [i] | OOA Folding | |