Information on Result #862654
Linear OOA(2571, 315, F25, 2, 37) (dual of [(315, 2), 559, 38]-NRT-code), using OOA 2-folding based on linear OA(2571, 630, F25, 37) (dual of [630, 559, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(2570, 625, F25, 37) (dual of [625, 555, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2566, 625, F25, 35) (dual of [625, 559, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-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 OOA(2593, 381, F25, 2, 37) (dual of [(381, 2), 669, 38]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2599, 441, F25, 2, 37) (dual of [(441, 2), 783, 38]-NRT-code) | [i] | ||