Information on Result #861354
Linear OOA(2591, 4194301, F25, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using OOA 2-folding based on linear OA(2591, 8388602, F25, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2591, large, F25, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(2593, 4194302, F25, 2, 19) (dual of [(4194302, 2), 8388511, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2595, 4194303, F25, 2, 19) (dual of [(4194303, 2), 8388511, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(2597, 4194304, F25, 2, 19) (dual of [(4194304, 2), 8388511, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(2599, 4194305, F25, 2, 19) (dual of [(4194305, 2), 8388511, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(2592, 4194301, F25, 2, 19) (dual of [(4194301, 2), 8388510, 20]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(25100, 4194327, F25, 2, 19) (dual of [(4194327, 2), 8388554, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(25101, 4194328, F25, 2, 19) (dual of [(4194328, 2), 8388555, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(25102, 4194329, F25, 2, 19) (dual of [(4194329, 2), 8388556, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(25103, 4194353, F25, 2, 19) (dual of [(4194353, 2), 8388603, 20]-NRT-code) | [i] | ||
| 10 | Linear OOA(25104, 4194367, F25, 2, 19) (dual of [(4194367, 2), 8388630, 20]-NRT-code) | [i] | ||
| 11 | Linear OOA(25107, 4194405, F25, 2, 19) (dual of [(4194405, 2), 8388703, 20]-NRT-code) | [i] | ||
| 12 | Linear OOA(25108, 4194615, F25, 2, 19) (dual of [(4194615, 2), 8389122, 20]-NRT-code) | [i] | ||
| 13 | Linear OOA(25109, 4194616, F25, 2, 19) (dual of [(4194616, 2), 8389123, 20]-NRT-code) | [i] | ||
| 14 | Linear OOA(25110, 4194618, F25, 2, 19) (dual of [(4194618, 2), 8389126, 20]-NRT-code) | [i] | ||