Information on Result #694609
Linear OA(2574, 315, F25, 41) (dual of [315, 241, 42]-code), using construction X applied to Ce(40) ⊂ Ce(39) based on
- linear OA(2574, 313, F25, 41) (dual of [313, 239, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2572, 313, F25, 40) (dual of [313, 241, 41]-code), using an extension Ce(39) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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
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(2576, 324, F25, 41) (dual of [324, 248, 42]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(2577, 344, F25, 41) (dual of [344, 267, 42]-code) | [i] | ||
| 3 | Linear OOA(2574, 157, F25, 2, 41) (dual of [(157, 2), 240, 42]-NRT-code) | [i] | OOA Folding | |