Information on Result #712666
Linear OA(757, 174, F7, 23) (dual of [174, 117, 24]-code), using construction X applied to C([10,32]) ⊂ C([11,32]) based on
- linear OA(757, 171, F7, 23) (dual of [171, 114, 24]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {10,11,…,32}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(754, 171, F7, 22) (dual of [171, 117, 23]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {11,12,…,32}, and designed minimum distance d ≥ |I|+1 = 23 [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(757, 87, F7, 2, 23) (dual of [(87, 2), 117, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(757, 58, F7, 3, 23) (dual of [(58, 3), 117, 24]-NRT-code) | [i] | ||