Information on Result #730405
Linear OA(8178, 823, F81, 41) (dual of [823, 745, 42]-code), using construction X applied to C([21,61]) ⊂ C([23,61]) based on
- linear OA(8177, 820, F81, 41) (dual of [820, 743, 42]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {21,22,…,61}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(8175, 820, F81, 39) (dual of [820, 745, 40]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {23,24,…,61}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(811, 3, F81, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-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 | OA(27104, 823, S27, 41) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8178, 411, F81, 2, 41) (dual of [(411, 2), 744, 42]-NRT-code) | [i] | OOA Folding | |