Information on Result #691548
Linear OA(1675, 1048601, F16, 15) (dual of [1048601, 1048526, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(1671, 1048577, F16, 15) (dual of [1048577, 1048506, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(1651, 1048577, F16, 11) (dual of [1048577, 1048526, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 1610−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(164, 24, F16, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,16)), 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(1676, 1048602, F16, 15) (dual of [1048602, 1048526, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1675, 524300, F16, 2, 15) (dual of [(524300, 2), 1048525, 16]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(1675, 149800, F16, 15, 15) (dual of [(149800, 15), 2246925, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |