Information on Result #713874
Linear OA(784, 360, F7, 31) (dual of [360, 276, 32]-code), using construction XX applied to C1 = C([28,56]), C2 = C([32,58]), C3 = C1 + C2 = C([32,56]), and C∩ = C1 ∩ C2 = C([28,58]) based on
- linear OA(775, 342, F7, 29) (dual of [342, 267, 30]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,56}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(770, 342, F7, 27) (dual of [342, 272, 28]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {32,33,…,58}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(779, 342, F7, 31) (dual of [342, 263, 32]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(766, 342, F7, 25) (dual of [342, 276, 26]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {32,33,…,56}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(74, 13, F7, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,7)), using
- linear OA(71, 5, F7, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 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(784, 120, F7, 3, 31) (dual of [(120, 3), 276, 32]-NRT-code) | [i] | OOA Folding | |