Information on Result #737541
Linear OA(5105, 15658, F5, 21) (dual of [15658, 15553, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,7]) based on
- linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(573, 15626, F5, 15) (dual of [15626, 15553, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(58, 32, F5, 5) (dual of [32, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 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(5106, 15659, F5, 21) (dual of [15659, 15553, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5105, 7829, F5, 2, 21) (dual of [(7829, 2), 15553, 22]-NRT-code) | [i] | OOA Folding | |