Information on Result #730323
Linear OA(8133, 658, F81, 18) (dual of [658, 625, 19]-code), using construction X applied to C([32,49]) ⊂ C([33,49]) based on
- linear OA(8133, 656, F81, 18) (dual of [656, 623, 19]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {32,33,…,49}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(8131, 656, F81, 17) (dual of [656, 625, 18]-code), using the BCH-code C(I) with length 656 | 812−1, defining interval I = {33,34,…,49}, and designed minimum distance d ≥ |I|+1 = 18 [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(8133, 329, F81, 2, 18) (dual of [(329, 2), 625, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8133, 219, F81, 3, 18) (dual of [(219, 3), 624, 19]-NRT-code) | [i] | ||