Information on Result #860754
Linear OOA(2521, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using OOA 2-folding based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2522, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388580, 6]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(542, 8388602, F5, 2, 5) (dual of [(8388602, 2), 16777162, 6]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(2523, 4194327, F25, 2, 5) (dual of [(4194327, 2), 8388631, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(2524, 4194952, F25, 2, 5) (dual of [(4194952, 2), 8389880, 6]-NRT-code) | [i] | ||
| 5 | Linear OOA(2525, 4210577, F25, 2, 5) (dual of [(4210577, 2), 8421129, 6]-NRT-code) | [i] | ||
| 6 | Linear OOA(2526, 4601202, F25, 2, 5) (dual of [(4601202, 2), 9202378, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(2527, 8388602, F25, 2, 5) (dual of [(8388602, 2), 16777177, 6]-NRT-code) | [i] | ||
| 8 | Linear OOA(2567, 8388602, F25, 2, 10) (dual of [(8388602, 2), 16777137, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(2572, 8388602, F25, 2, 11) (dual of [(8388602, 2), 16777132, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(2528, large, F25, 2, 5) | [i] | Generalized (u, u+v)-Construction for OOAs | |