Information on Result #694626
Linear OA(2551, 315, F25, 28) (dual of [315, 264, 29]-code), using construction X applied to Ce(27) ⊂ Ce(26) based on
- linear OA(2551, 313, F25, 28) (dual of [313, 262, 29]-code), using an extension Ce(27) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2549, 313, F25, 27) (dual of [313, 264, 28]-code), using an extension Ce(26) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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 OOA(2551, 157, F25, 2, 28) (dual of [(157, 2), 263, 29]-NRT-code) | [i] | OOA Folding | |