Information on Result #693514
Linear OA(2542, 15636, F25, 14) (dual of [15636, 15594, 15]-code), using construction X applied to Ce(13) ⊂ Ce(10) based on
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2531, 15625, F25, 11) (dual of [15625, 15594, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(252, 11, F25, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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(2549, 15662, F25, 14) (dual of [15662, 15613, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2542, 13160, F25, 2, 14) (dual of [(13160, 2), 26278, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Digital (28, 42, 13160)-net over F25 | [i] | ||
| 4 | Linear OOA(2542, 7818, F25, 2, 14) (dual of [(7818, 2), 15594, 15]-NRT-code) | [i] | OOA Folding | |