Information on Result #693473
Linear OA(2586, 15632, F25, 30) (dual of [15632, 15546, 31]-code), using construction X applied to Ce(29) ⊂ Ce(27) based on
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(25105, 15698, F25, 30) (dual of [15698, 15593, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25106, 15700, F25, 30) (dual of [15700, 15594, 31]-code) | [i] | ||
| 3 | Linear OA(25107, 15702, F25, 30) (dual of [15702, 15595, 31]-code) | [i] | ||
| 4 | Linear OA(25108, 15704, F25, 30) (dual of [15704, 15596, 31]-code) | [i] | ||
| 5 | Linear OOA(2586, 8238, F25, 2, 30) (dual of [(8238, 2), 16390, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Digital (56, 86, 8238)-net over F25 | [i] | ||
| 7 | Linear OOA(2586, 7816, F25, 2, 30) (dual of [(7816, 2), 15546, 31]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2586, 1042, F25, 30, 30) (dual of [(1042, 30), 31174, 31]-NRT-code) | [i] | OA Folding and Stacking | |