Information on Result #712543
Linear OA(753, 117, F7, 25) (dual of [117, 64, 26]-code), using construction X applied to C([16,40]) ⊂ C([17,40]) based on
- 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(750, 114, F7, 24) (dual of [114, 64, 25]-code), using the BCH-code C(I) with length 114 | 73−1, defining interval I = {17,18,…,40}, and designed minimum distance d ≥ |I|+1 = 25 [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
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(753, 58, F7, 2, 25) (dual of [(58, 2), 63, 26]-NRT-code) | [i] | OOA Folding |