Information on Result #691559
Linear OA(1668, 1048614, F16, 13) (dual of [1048614, 1048546, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,3]) based on
- linear OA(1661, 1048577, F16, 13) (dual of [1048577, 1048516, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1631, 1048577, F16, 7) (dual of [1048577, 1048546, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(167, 37, F16, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(167, 241, F16, 5) (dual of [241, 234, 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(1669, 1048615, F16, 13) (dual of [1048615, 1048546, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1668, 524307, F16, 2, 13) (dual of [(524307, 2), 1048546, 14]-NRT-code) | [i] | OOA Folding | |