Information on Result #696289
Linear OA(2784, 184, F27, 50) (dual of [184, 100, 51]-code), using construction X applied to Ce(49) ⊂ Ce(48) based on
- linear OA(2784, 183, F27, 50) (dual of [183, 99, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [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(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 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(2785, 185, F27, 50) (dual of [185, 100, 51]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(2782, 182, F27, 48) (dual of [182, 100, 49]-code) | [i] | Truncation | |
| 3 | Linear OOA(2784, 92, F27, 2, 50) (dual of [(92, 2), 100, 51]-NRT-code) | [i] | OOA Folding | |