Information on Result #861206
Linear OOA(2566, 195317, F25, 2, 17) (dual of [(195317, 2), 390568, 18]-NRT-code), using OOA 2-folding based on linear OA(2566, 390634, F25, 17) (dual of [390634, 390568, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2566, 390635, F25, 17) (dual of [390635, 390569, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(2565, 390626, F25, 17) (dual of [390626, 390561, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2557, 390626, F25, 15) (dual of [390626, 390569, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 258−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 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([0,8]) ⊂ C([0,7]) [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(2574, 195343, F25, 2, 17) (dual of [(195343, 2), 390612, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2575, 195344, F25, 2, 17) (dual of [(195344, 2), 390613, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(2578, 195383, F25, 2, 17) (dual of [(195383, 2), 390688, 18]-NRT-code) | [i] | ||