Information on Result #704085
Linear OA(3218, 747, F3, 55) (dual of [747, 529, 56]-code), using construction X applied to C([337,391]) ⊂ C([342,391]) 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(3199, 728, F3, 50) (dual of [728, 529, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {342,343,…,391}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(37, 19, F3, 4) (dual of [19, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), 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(3218, 249, F3, 3, 55) (dual of [(249, 3), 529, 56]-NRT-code) | [i] | OOA Folding | |