Information on Result #726829
Linear OA(27100, 776, F27, 44) (dual of [776, 676, 45]-code), using construction XX applied to C1 = C([720,28]), C2 = C([3,35]), C3 = C1 + C2 = C([3,28]), and C∩ = C1 ∩ C2 = C([720,35]) based on
- linear OA(2770, 728, F27, 37) (dual of [728, 658, 38]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,28}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2765, 728, F27, 33) (dual of [728, 663, 34]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,35}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2784, 728, F27, 44) (dual of [728, 644, 45]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−8,−7,…,35}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2751, 728, F27, 26) (dual of [728, 677, 27]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,28}, and designed minimum distance d ≥ |I|+1 = 27 [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(27100, 388, F27, 2, 44) (dual of [(388, 2), 676, 45]-NRT-code) | [i] | OOA Folding | |