Information on Result #860978
Linear OOA(2537, 7814, F25, 2, 13) (dual of [(7814, 2), 15591, 14]-NRT-code), using OOA 2-folding based on linear OA(2537, 15628, F25, 13) (dual of [15628, 15591, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(2537, 15625, F25, 13) (dual of [15625, 15588, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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
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(2543, 7840, F25, 2, 13) (dual of [(7840, 2), 15637, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2544, 7841, F25, 2, 13) (dual of [(7841, 2), 15638, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2545, 7842, F25, 2, 13) (dual of [(7842, 2), 15639, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2546, 7866, F25, 2, 13) (dual of [(7866, 2), 15686, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2547, 7880, F25, 2, 13) (dual of [(7880, 2), 15713, 14]-NRT-code) | [i] | ||
| 6 | Digital (24, 37, 7814)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |