Information on Result #730330
Linear OA(8162, 659, F81, 33) (dual of [659, 597, 34]-code), using construction X applied to C([25,57]) ⊂ C([27,57]) based on
- linear OA(8161, 656, F81, 33) (dual of [656, 595, 34]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {25,26,…,57}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8159, 656, F81, 31) (dual of [656, 597, 32]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {27,28,…,57}, and designed minimum distance d ≥ |I|+1 = 32 [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(8162, 329, F81, 2, 33) (dual of [(329, 2), 596, 34]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8162, 219, F81, 3, 33) (dual of [(219, 3), 595, 34]-NRT-code) | [i] | ||