Information on Result #693314
Linear OA(2544, 15633, F25, 15) (dual of [15633, 15589, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,6]) 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
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(2551, 15659, F25, 15) (dual of [15659, 15608, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2552, 15662, F25, 15) (dual of [15662, 15610, 16]-code) | [i] | ||
| 3 | Linear OA(2555, 15711, F25, 15) (dual of [15711, 15656, 16]-code) | [i] | ||
| 4 | Linear OOA(2544, 9929, F25, 2, 15) (dual of [(9929, 2), 19814, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (29, 44, 9929)-net over F25 | [i] | ||
| 6 | Linear OOA(2544, 7816, F25, 2, 15) (dual of [(7816, 2), 15588, 16]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2544, 2233, F25, 15, 15) (dual of [(2233, 15), 33451, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |