Information on Result #856105
Linear OOA(1631, 524290, F16, 2, 7) (dual of [(524290, 2), 1048549, 8]-NRT-code), using OOA 2-folding based on linear OA(1631, 1048580, F16, 7) (dual of [1048580, 1048549, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1631, 1048581, F16, 7) (dual of [1048581, 1048550, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(1631, 1048576, F16, 7) (dual of [1048576, 1048545, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(1626, 1048576, F16, 6) (dual of [1048576, 1048550, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
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(1634, 524307, F16, 2, 7) (dual of [(524307, 2), 1048580, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(1635, 524547, F16, 2, 7) (dual of [(524547, 2), 1049059, 8]-NRT-code) | [i] | ||
| 3 | Linear OOA(1636, 524919, F16, 2, 7) (dual of [(524919, 2), 1049802, 8]-NRT-code) | [i] | ||