Information on Result #899413
Linear OOA(2557, 8388602, F25, 2, 9) (dual of [(8388602, 2), 16777147, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2516, 4194301, F25, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- linear OOA(2541, 4194301, F25, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2541, large, F25, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(2541, 8388602, F25, 9) (dual of [8388602, 8388561, 10]-code), using
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(2559, large, F25, 2, 9) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2561, large, F25, 2, 9) | [i] | ||
| 3 | Linear OOA(2563, large, F25, 2, 9) | [i] | ||
| 4 | Linear OOA(2565, large, F25, 2, 9) | [i] | ||
| 5 | Linear OOA(2567, large, F25, 2, 9) | [i] | ||
| 6 | Linear OOA(2569, large, F25, 2, 9) | [i] | ||
| 7 | Linear OOA(2571, large, F25, 2, 9) | [i] | ||
| 8 | Linear OOA(2573, large, F25, 2, 9) | [i] | ||
| 9 | Linear OOA(2575, large, F25, 2, 9) | [i] | ||
| 10 | Linear OOA(2577, large, F25, 2, 9) | [i] | ||
| 11 | Linear OOA(2579, large, F25, 2, 9) | [i] | ||
| 12 | Linear OOA(2581, large, F25, 2, 9) | [i] | ||
| 13 | Linear OOA(2583, large, F25, 2, 9) | [i] | ||
| 14 | Linear OOA(2585, large, F25, 2, 9) | [i] | ||
| 15 | Linear OOA(2587, large, F25, 2, 9) | [i] | ||
| 16 | Linear OOA(2589, large, F25, 2, 9) | [i] | ||
| 17 | Linear OOA(2591, large, F25, 2, 9) | [i] | ||
| 18 | Linear OOA(2593, large, F25, 2, 9) | [i] | ||
| 19 | Linear OOA(2595, large, F25, 2, 9) | [i] | ||
| 20 | Linear OOA(2597, large, F25, 2, 9) | [i] | ||
| 21 | Linear OOA(2599, large, F25, 2, 9) | [i] | ||
| 22 | Linear OOA(25101, large, F25, 2, 9) | [i] | ||
| 23 | Linear OOA(25103, large, F25, 2, 9) | [i] | ||
| 24 | Linear OOA(25105, large, F25, 2, 9) | [i] | ||
| 25 | Linear OOA(25107, large, F25, 2, 9) | [i] | ||
| 26 | Linear OOA(25109, large, F25, 2, 9) | [i] | ||
| 27 | Linear OOA(2558, 8388602, F25, 2, 9) (dual of [(8388602, 2), 16777146, 10]-NRT-code) | [i] | OOA Duplication | |
| 28 | Linear OOA(2557, 4194300, F25, 10, 9) (dual of [(4194300, 10), 41942943, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |