Information on Result #861002
Linear OOA(2561, 4194301, F25, 2, 13) (dual of [(4194301, 2), 8388541, 14]-NRT-code), using OOA 2-folding based on linear OA(2561, 8388602, F25, 13) (dual of [8388602, 8388541, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, large, F25, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2563, 4194302, F25, 2, 13) (dual of [(4194302, 2), 8388541, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2565, 4194303, F25, 2, 13) (dual of [(4194303, 2), 8388541, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2562, 4194301, F25, 2, 13) (dual of [(4194301, 2), 8388540, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(5122, 8388602, F5, 2, 13) (dual of [(8388602, 2), 16777082, 14]-NRT-code) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(2567, 4194327, F25, 2, 13) (dual of [(4194327, 2), 8388587, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2568, 4194328, F25, 2, 13) (dual of [(4194328, 2), 8388588, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(2569, 4194329, F25, 2, 13) (dual of [(4194329, 2), 8388589, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(2570, 4194353, F25, 2, 13) (dual of [(4194353, 2), 8388636, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(2571, 4194367, F25, 2, 13) (dual of [(4194367, 2), 8388663, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(2572, 4194615, F25, 2, 13) (dual of [(4194615, 2), 8389158, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(2573, 4194616, F25, 2, 13) (dual of [(4194616, 2), 8389159, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(2574, 4194618, F25, 2, 13) (dual of [(4194618, 2), 8389162, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(2575, 4194641, F25, 2, 13) (dual of [(4194641, 2), 8389207, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(2576, 4195277, F25, 2, 13) (dual of [(4195277, 2), 8390478, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(2577, 4202115, F25, 2, 13) (dual of [(4202115, 2), 8404153, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(2578, 4202117, F25, 2, 13) (dual of [(4202117, 2), 8404156, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(2579, 4202119, F25, 2, 13) (dual of [(4202119, 2), 8404159, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(2580, 4202141, F25, 2, 13) (dual of [(4202141, 2), 8404202, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(2581, 4202741, F25, 2, 13) (dual of [(4202741, 2), 8405401, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(2582, 4389615, F25, 2, 13) (dual of [(4389615, 2), 8779148, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(2583, 4389618, F25, 2, 13) (dual of [(4389618, 2), 8779153, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(2584, 4389620, F25, 2, 13) (dual of [(4389620, 2), 8779156, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(2585, 4389641, F25, 2, 13) (dual of [(4389641, 2), 8779197, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(2586, 4390241, F25, 2, 13) (dual of [(4390241, 2), 8780396, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(2587, 8388602, F25, 2, 13) (dual of [(8388602, 2), 16777117, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(2575, 4194951, F25, 2, 13) (dual of [(4194951, 2), 8389827, 14]-NRT-code) | [i] | ||