Information on Result #899466
Linear OOA(2572, 8388602, F25, 2, 11) (dual of [(8388602, 2), 16777132, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2521, 4194301, F25, 2, 5) (dual of [(4194301, 2), 8388581, 6]-NRT-code), using
- OOA 2-folding [i] 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]
- discarding factors / shortening the dual code based on linear OA(2521, large, F25, 5) (dual of [large, large−21, 6]-code), using
- OOA 2-folding [i] based on linear OA(2521, 8388602, F25, 5) (dual of [8388602, 8388581, 6]-code), using
- linear OOA(2551, 4194301, F25, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2551, 8388602, F25, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2551, large, F25, 11) (dual of [large, large−51, 12]-code), using
- OOA 2-folding [i] based on linear OA(2551, 8388602, F25, 11) (dual of [8388602, 8388551, 12]-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(2574, large, F25, 2, 11) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2576, large, F25, 2, 11) | [i] | ||
| 3 | Linear OOA(2578, large, F25, 2, 11) | [i] | ||
| 4 | Linear OOA(2580, large, F25, 2, 11) | [i] | ||
| 5 | Linear OOA(2582, large, F25, 2, 11) | [i] | ||
| 6 | Linear OOA(2584, large, F25, 2, 11) | [i] | ||
| 7 | Linear OOA(2586, large, F25, 2, 11) | [i] | ||
| 8 | Linear OOA(2588, large, F25, 2, 11) | [i] | ||
| 9 | Linear OOA(2590, large, F25, 2, 11) | [i] | ||
| 10 | Linear OOA(2592, large, F25, 2, 11) | [i] | ||
| 11 | Linear OOA(2594, large, F25, 2, 11) | [i] | ||
| 12 | Linear OOA(2596, large, F25, 2, 11) | [i] | ||
| 13 | Linear OOA(2598, large, F25, 2, 11) | [i] | ||
| 14 | Linear OOA(25100, large, F25, 2, 11) | [i] | ||
| 15 | Linear OOA(25102, large, F25, 2, 11) | [i] | ||
| 16 | Linear OOA(25104, large, F25, 2, 11) | [i] | ||
| 17 | Linear OOA(25106, large, F25, 2, 11) | [i] | ||
| 18 | Linear OOA(25108, large, F25, 2, 11) | [i] | ||
| 19 | Linear OOA(25110, large, F25, 2, 11) | [i] | ||
| 20 | Linear OOA(2573, 8388602, F25, 2, 11) (dual of [(8388602, 2), 16777131, 12]-NRT-code) | [i] | OOA Duplication | |
| 21 | Linear OOA(2572, 2796200, F25, 14, 11) (dual of [(2796200, 14), 39146728, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |