Information on Result #704105
Linear OA(3242, 809, F3, 54) (dual of [809, 567, 55]-code), using construction X applied to C([337,391]) ⊂ C([352,391]) based on
- linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3157, 728, F3, 40) (dual of [728, 571, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {352,353,…,391}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(331, 81, F3, 13) (dual of [81, 50, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
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(3242, 404, F3, 2, 54) (dual of [(404, 2), 566, 55]-NRT-code) | [i] | OOA Folding | |