Information on Result #712943
Linear OA(790, 189, F7, 38) (dual of [189, 99, 39]-code), using construction XX applied to C1 = C([21,56]), C2 = C([25,58]), C3 = C1 + C2 = C([25,56]), and C∩ = C1 ∩ C2 = C([21,58]) based on
- linear OA(781, 171, F7, 36) (dual of [171, 90, 37]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,56}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(776, 171, F7, 34) (dual of [171, 95, 35]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,58}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(785, 171, F7, 38) (dual of [171, 86, 39]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {21,22,…,58}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(772, 171, F7, 32) (dual of [171, 99, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {25,26,…,56}, and designed minimum distance d ≥ |I|+1 = 33 [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(790, 63, F7, 3, 38) (dual of [(63, 3), 99, 39]-NRT-code) | [i] | OOA Folding | |