Information on Result #696341
Linear OA(2787, 187, F27, 51) (dual of [187, 100, 52]-code), using construction X applied to Ce(50) ⊂ Ce(48) based on
- linear OA(2786, 183, F27, 51) (dual of [183, 97, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2783, 183, F27, 49) (dual of [183, 100, 50]-code), using an extension Ce(48) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(271, 4, F27, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 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 OOA(2787, 93, F27, 2, 51) (dual of [(93, 2), 99, 52]-NRT-code) | [i] | OOA Folding | |