Information on Result #693499
Linear OA(2587, 15636, F25, 30) (dual of [15636, 15549, 31]-code), using construction X applied to Ce(29) ⊂ Ce(26) 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(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(25106, 15702, F25, 30) (dual of [15702, 15596, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(25107, 15704, F25, 30) (dual of [15704, 15597, 31]-code) | [i] | ||
| 3 | Linear OA(25108, 15706, F25, 30) (dual of [15706, 15598, 31]-code) | [i] | ||
| 4 | Linear OOA(2587, 9243, F25, 2, 30) (dual of [(9243, 2), 18399, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (57, 87, 9243)-net over F25 | [i] | ||
| 6 | Linear OOA(2587, 7818, F25, 2, 30) (dual of [(7818, 2), 15549, 31]-NRT-code) | [i] | OOA Folding | |