Information on Result #899551
Linear OOA(2587, 8388602, F25, 2, 13) (dual of [(8388602, 2), 16777117, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- linear OOA(2561, 4194301, F25, 2, 13) (dual of [(4194301, 2), 8388541, 14]-NRT-code), using
- OOA 2-folding [i] 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]
- discarding factors / shortening the dual code based on linear OA(2561, large, F25, 13) (dual of [large, large−61, 14]-code), using
- OOA 2-folding [i] based on linear OA(2561, 8388602, F25, 13) (dual of [8388602, 8388541, 14]-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(2589, large, F25, 2, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2591, large, F25, 2, 13) | [i] | ||
| 3 | Linear OOA(2593, large, F25, 2, 13) | [i] | ||
| 4 | Linear OOA(2595, large, F25, 2, 13) | [i] | ||
| 5 | Linear OOA(2597, large, F25, 2, 13) | [i] | ||
| 6 | Linear OOA(2599, large, F25, 2, 13) | [i] | ||
| 7 | Linear OOA(25101, large, F25, 2, 13) | [i] | ||
| 8 | Linear OOA(25103, large, F25, 2, 13) | [i] | ||
| 9 | Linear OOA(25105, large, F25, 2, 13) | [i] | ||
| 10 | Linear OOA(25107, large, F25, 2, 13) | [i] | ||
| 11 | Linear OOA(25109, large, F25, 2, 13) | [i] | ||
| 12 | Linear OOA(2588, 8388602, F25, 2, 13) (dual of [(8388602, 2), 16777116, 14]-NRT-code) | [i] | OOA Duplication | |
| 13 | Linear OOA(2587, 2796200, F25, 14, 13) (dual of [(2796200, 14), 39146713, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |