Information on Result #730128
Linear OA(8120, 413, F81, 11) (dual of [413, 393, 12]-code), using construction X applied to C([36,46]) ⊂ C([38,46]) based on
- linear OA(8119, 410, F81, 11) (dual of [410, 391, 12]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {36,37,…,46}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8117, 410, F81, 9) (dual of [410, 393, 10]-code), using the BCH-code C(I) with length 410 | 812−1, defining interval I = {38,39,…,46}, and designed minimum distance d ≥ |I|+1 = 10 [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 OA(8165, 6976, F81, 23) (dual of [6976, 6911, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(8120, 206, F81, 2, 11) (dual of [(206, 2), 392, 12]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8120, 137, F81, 3, 11) (dual of [(137, 3), 391, 12]-NRT-code) | [i] | ||