Information on Result #691695
Linear OA(16112, 1048622, F16, 22) (dual of [1048622, 1048510, 23]-code), using construction X applied to Ce(21) ⊂ Ce(13) based on
- linear OA(16101, 1048576, F16, 22) (dual of [1048576, 1048475, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1611, 46, F16, 7) (dual of [46, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1611, 51, F16, 7) (dual of [51, 40, 8]-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(16113, 1048623, F16, 22) (dual of [1048623, 1048510, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16112, 524311, F16, 2, 22) (dual of [(524311, 2), 1048510, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(16112, 95329, F16, 22, 22) (dual of [(95329, 22), 2097126, 23]-NRT-code) | [i] | OA Folding and Stacking | |