Information on Result #693313
Linear OA(2550, 15633, F25, 17) (dual of [15633, 15583, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,7]) based on
- linear OA(2549, 15626, F25, 17) (dual of [15626, 15577, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 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(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
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(2558, 15659, F25, 17) (dual of [15659, 15601, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2559, 15662, F25, 17) (dual of [15662, 15603, 18]-code) | [i] | ||
| 3 | Linear OOA(2550, 9859, F25, 2, 17) (dual of [(9859, 2), 19668, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (33, 50, 9859)-net over F25 | [i] | ||
| 5 | Linear OOA(2550, 7816, F25, 2, 17) (dual of [(7816, 2), 15582, 18]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2550, 1954, F25, 17, 17) (dual of [(1954, 17), 33168, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |