Information on Result #725995
Linear OA(2767, 760, F27, 30) (dual of [760, 693, 31]-code), using construction XX applied to C1 = C([0,27]), C2 = C([11,29]), C3 = C1 + C2 = C([11,27]), and C∩ = C1 ∩ C2 = C([0,29]) based on
- linear OA(2753, 728, F27, 28) (dual of [728, 675, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2737, 728, F27, 19) (dual of [728, 691, 20]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,29}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2756, 728, F27, 30) (dual of [728, 672, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2734, 728, F27, 17) (dual of [728, 694, 18]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {11,12,…,27}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2710, 28, F27, 10) (dual of [28, 18, 11]-code or 28-arc in PG(9,27)), using
- extended Reed–Solomon code RSe(18,27) [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, 27, F27, 1) (dual of [27, 26, 2]-code), using
- Reed–Solomon code RS(26,27) [i]
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), 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(2767, 380, F27, 2, 30) (dual of [(380, 2), 693, 31]-NRT-code) | [i] | OOA Folding | |