Information on Result #712844
Linear OA(790, 195, F7, 37) (dual of [195, 105, 38]-code), using construction XX applied to C1 = C([22,56]), C2 = C([28,58]), C3 = C1 + C2 = C([28,56]), and C∩ = C1 ∩ C2 = C([22,58]) based on
- linear OA(778, 171, F7, 35) (dual of [171, 93, 36]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,56}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(770, 171, F7, 31) (dual of [171, 101, 32]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(782, 171, F7, 37) (dual of [171, 89, 38]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {22,23,…,58}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(766, 171, F7, 29) (dual of [171, 105, 30]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,56}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(77, 19, F7, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), 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(790, 65, F7, 3, 37) (dual of [(65, 3), 105, 38]-NRT-code) | [i] | OOA Folding | |