Information on Result #725479
Linear OA(2777, 368, F27, 41) (dual of [368, 291, 42]-code), using construction XX applied to C1 = C([363,38]), C2 = C([0,39]), C3 = C1 + C2 = C([0,38]), and C∩ = C1 ∩ C2 = C([363,39]) based on
- linear OA(2775, 364, F27, 40) (dual of [364, 289, 41]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−1,0,…,38}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2775, 364, F27, 40) (dual of [364, 289, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2777, 364, F27, 41) (dual of [364, 287, 42]-code), using the BCH-code C(I) with length 364 | 272−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2773, 364, F27, 39) (dual of [364, 291, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 364 | 272−1, defining interval I = [0,38], and designed minimum distance d ≥ |I|+1 = 40 [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(2777, 184, F27, 2, 41) (dual of [(184, 2), 291, 42]-NRT-code) | [i] | OOA Folding | |