Information on Result #675020
Linear OA(379, 19708, F3, 13) (dual of [19708, 19629, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
- linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(355, 19684, F3, 9) (dual of [19684, 19629, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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(379, 9854, F3, 2, 13) (dual of [(9854, 2), 19629, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(379, 6569, F3, 3, 13) (dual of [(6569, 3), 19628, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(379, 4927, F3, 4, 13) (dual of [(4927, 4), 19629, 14]-NRT-code) | [i] | ||