Information on Result #730393
Linear OA(8151, 822, F81, 27) (dual of [822, 771, 28]-code), using construction X applied to C([25,51]) ⊂ C([26,51]) based on
- linear OA(8151, 820, F81, 27) (dual of [820, 769, 28]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {25,26,…,51}, and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8149, 820, F81, 26) (dual of [820, 771, 27]-code), using the BCH-code C(I) with length 820 | 812−1, defining interval I = {26,27,…,51}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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(8151, 274, F81, 3, 27) (dual of [(274, 3), 771, 28]-NRT-code) | [i] | OOA Folding | |