Information on Result #730144
Linear OA(8138, 413, F81, 21) (dual of [413, 375, 22]-code), using construction X applied to C([31,51]) ⊂ C([33,51]) based on
- linear OA(8137, 410, F81, 21) (dual of [410, 373, 22]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {31,32,…,51}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(8135, 410, F81, 19) (dual of [410, 375, 20]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {33,34,…,51}, and designed minimum distance d ≥ |I|+1 = 20 [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 | Linear OOA(8138, 206, F81, 2, 21) (dual of [(206, 2), 374, 22]-NRT-code) | [i] | OOA Folding | |