Information on Result #725503
Linear OA(2784, 368, F27, 46) (dual of [368, 284, 47]-code), using construction XX applied to C1 = C([363,43]), C2 = C([0,44]), C3 = C1 + C2 = C([0,43]), and C∩ = C1 ∩ C2 = C([363,44]) based on
- linear OA(2782, 364, F27, 45) (dual of [364, 282, 46]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−1,0,…,43}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2782, 364, F27, 45) (dual of [364, 282, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2784, 364, F27, 46) (dual of [364, 280, 47]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−1,0,…,44}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(2780, 364, F27, 44) (dual of [364, 284, 45]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,43], and designed minimum distance d ≥ |I|+1 = 45 [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 OA(2785, 372, F27, 46) (dual of [372, 287, 47]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2786, 392, F27, 46) (dual of [392, 306, 47]-code) | [i] | ||
| 3 | Linear OOA(2784, 184, F27, 2, 46) (dual of [(184, 2), 284, 47]-NRT-code) | [i] | OOA Folding | |