Information on Result #861077
Linear OOA(2544, 7816, F25, 2, 15) (dual of [(7816, 2), 15588, 16]-NRT-code), using OOA 2-folding based on linear OA(2544, 15632, F25, 15) (dual of [15632, 15588, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2544, 15633, F25, 15) (dual of [15633, 15589, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(2537, 15626, F25, 13) (dual of [15626, 15589, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [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(2551, 7842, F25, 2, 15) (dual of [(7842, 2), 15633, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2552, 7843, F25, 2, 15) (dual of [(7843, 2), 15634, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(2555, 7882, F25, 2, 15) (dual of [(7882, 2), 15709, 16]-NRT-code) | [i] | ||