Information on Result #704103
Linear OA(3242, 807, F3, 55) (dual of [807, 565, 56]-code), using construction X applied to C([337,391]) ⊂ C([351,391]) 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(3163, 728, F3, 41) (dual of [728, 565, 42]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {351,352,…,391}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(331, 79, F3, 13) (dual of [79, 48, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(331, 80, F3, 13) (dual of [80, 49, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(331, 80, F3, 13) (dual of [80, 49, 14]-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 OA(3243, 808, F3, 55) (dual of [808, 565, 56]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3241, 806, F3, 54) (dual of [806, 565, 55]-code) | [i] | Truncation | |
| 3 | Linear OOA(3242, 403, F3, 2, 55) (dual of [(403, 2), 564, 56]-NRT-code) | [i] | OOA Folding | |