Information on Result #725546
Linear OA(2794, 368, F27, 51) (dual of [368, 274, 52]-code), using construction XX applied to C1 = C([363,48]), C2 = C([0,49]), C3 = C1 + C2 = C([0,48]), and C∩ = C1 ∩ C2 = C([363,49]) based on
- linear OA(2792, 364, F27, 50) (dual of [364, 272, 51]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−1,0,…,48}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2792, 364, F27, 50) (dual of [364, 272, 51]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,49], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(2794, 364, F27, 51) (dual of [364, 270, 52]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−1,0,…,49}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(2790, 364, F27, 49) (dual of [364, 274, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,48], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 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
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
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(2794, 184, F27, 2, 51) (dual of [(184, 2), 274, 52]-NRT-code) | [i] | OOA Folding | |