Information on Result #736907
Linear OA(3174, 19731, F3, 27) (dual of [19731, 19557, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,10]) based on
- linear OA(3163, 19684, F3, 27) (dual of [19684, 19521, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(3127, 19684, F3, 21) (dual of [19684, 19557, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3176, 19733, F3, 27) (dual of [19733, 19557, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3174, 6577, F3, 3, 27) (dual of [(6577, 3), 19557, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3174, 3946, F3, 5, 27) (dual of [(3946, 5), 19556, 28]-NRT-code) | [i] | ||