Information on Result #675010
Linear OA(3115, 19708, F3, 19) (dual of [19708, 19593, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) based on
- linear OA(3109, 19684, F3, 19) (dual of [19684, 19575, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(391, 19684, F3, 15) (dual of [19684, 19593, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(3115, 9854, F3, 2, 19) (dual of [(9854, 2), 19593, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3115, 6569, F3, 3, 19) (dual of [(6569, 3), 19592, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3115, 4927, F3, 4, 19) (dual of [(4927, 4), 19593, 20]-NRT-code) | [i] | ||