Information on Result #732569
Linear OA(2597, 15706, F25, 27) (dual of [15706, 15609, 28]-code), using (u, u+v)-construction based on
- linear OA(2521, 78, F25, 13) (dual of [78, 57, 14]-code), using
- linear OA(2576, 15628, F25, 27) (dual of [15628, 15552, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- 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(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
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 OOA(2597, 7853, F25, 2, 27) (dual of [(7853, 2), 15609, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2597, 1208, F25, 27, 27) (dual of [(1208, 27), 32519, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |