Information on Result #726521
Linear OA(2790, 776, F27, 39) (dual of [776, 686, 40]-code), using construction XX applied to C1 = C([725,28]), C2 = C([8,35]), C3 = C1 + C2 = C([8,28]), and C∩ = C1 ∩ C2 = C([725,35]) based on
- linear OA(2760, 728, F27, 32) (dual of [728, 668, 33]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,28}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2755, 728, F27, 28) (dual of [728, 673, 29]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,35}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2774, 728, F27, 39) (dual of [728, 654, 40]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−3,−2,…,35}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(2741, 728, F27, 21) (dual of [728, 687, 22]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {8,9,…,28}, and designed minimum distance d ≥ |I|+1 = 22 [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(276, 20, F27, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,27)), using
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), using
- Reed–Solomon code RS(21,27) [i]
- discarding factors / shortening the dual code based on linear OA(276, 27, F27, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,27)), 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(2790, 388, F27, 2, 39) (dual of [(388, 2), 686, 40]-NRT-code) | [i] | OOA Folding | |