Information on Result #714189
Linear OA(786, 404, F7, 27) (dual of [404, 318, 28]-code), using construction X applied to C([40,66]) ⊂ C([41,66]) based on
- linear OA(786, 400, F7, 27) (dual of [400, 314, 28]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {40,41,…,66}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(782, 400, F7, 26) (dual of [400, 318, 27]-code), using the BCH-code C(I) with length 400 | 74−1, defining interval I = {41,42,…,66}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(70, 4, F7, 0) (dual of [4, 4, 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 OA(787, 405, F7, 27) (dual of [405, 318, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(786, 202, F7, 2, 27) (dual of [(202, 2), 318, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(786, 134, F7, 3, 27) (dual of [(134, 3), 316, 28]-NRT-code) | [i] | ||