Information on Result #694052
Linear OA(2551, 631, F25, 26) (dual of [631, 580, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2545, 625, F25, 23) (dual of [625, 580, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(252, 6, F25, 2) (dual of [6, 4, 3]-code or 6-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(2568, 697, F25, 26) (dual of [697, 629, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2569, 699, F25, 26) (dual of [699, 630, 27]-code) | [i] | ||
| 3 | Linear OOA(2551, 315, F25, 2, 26) (dual of [(315, 2), 579, 27]-NRT-code) | [i] | OOA Folding | |