Information on Result #693310
Linear OA(2568, 15633, F25, 23) (dual of [15633, 15565, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(2567, 15626, F25, 23) (dual of [15626, 15559, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(2561, 15626, F25, 21) (dual of [15626, 15565, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2583, 15699, F25, 23) (dual of [15699, 15616, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2584, 15701, F25, 23) (dual of [15701, 15617, 24]-code) | [i] | ||
| 3 | Linear OA(2585, 15703, F25, 23) (dual of [15703, 15618, 24]-code) | [i] | ||
| 4 | Linear OOA(2568, 10422, F25, 2, 23) (dual of [(10422, 2), 20776, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (45, 68, 10422)-net over F25 | [i] | ||
| 6 | Linear OOA(2568, 7816, F25, 2, 23) (dual of [(7816, 2), 15564, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2568, 1421, F25, 23, 23) (dual of [(1421, 23), 32615, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |