Information on Result #860737
Linear OOA(2514, 195317, F25, 2, 4) (dual of [(195317, 2), 390620, 5]-NRT-code), using OOA 2-folding based on linear OA(2514, 390634, F25, 4) (dual of [390634, 390620, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(255, 390625, F25, 2) (dual of [390625, 390620, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 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(2550, 4389618, F25, 2, 8) (dual of [(4389618, 2), 8779186, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2555, 4389618, F25, 2, 9) (dual of [(4389618, 2), 8779181, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(2521, 4882925, F25, 2, 4) (dual of [(4882925, 2), 9765829, 5]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |