Information on Result #693532
Linear OA(2586, 15641, F25, 29) (dual of [15641, 15555, 30]-code), using construction X applied to Ce(28) ⊂ Ce(23) based on
- linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(254, 16, F25, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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(25104, 15707, F25, 29) (dual of [15707, 15603, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(2586, 7820, F25, 2, 29) (dual of [(7820, 2), 15554, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2586, 1117, F25, 29, 29) (dual of [(1117, 29), 32307, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |