Information on Result #712617
Linear OA(759, 120, F7, 27) (dual of [120, 61, 28]-code), using construction XX applied to C1 = C([16,41]), C2 = C([15,40]), C3 = C1 + C2 = C([16,40]), and C∩ = C1 ∩ C2 = C([15,41]) based on
- linear OA(756, 114, F7, 26) (dual of [114, 58, 27]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {16,17,…,41}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(756, 114, F7, 26) (dual of [114, 58, 27]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {15,16,…,40}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(759, 114, F7, 27) (dual of [114, 55, 28]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {15,16,…,41}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(753, 114, F7, 25) (dual of [114, 61, 26]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {16,17,…,40}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code) (see above)
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(759, 60, F7, 2, 27) (dual of [(60, 2), 61, 28]-NRT-code) | [i] | OOA Folding | |