Information on Result #893922
Linear OOA(5122, 8388602, F5, 2, 13) (dual of [(8388602, 2), 16777082, 14]-NRT-code), using trace code based on 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
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(5124, large, F5, 2, 13) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5126, large, F5, 2, 13) | [i] | ||
| 3 | Linear OOA(5128, large, F5, 2, 13) | [i] | ||
| 4 | Linear OOA(5130, large, F5, 2, 13) | [i] | ||
| 5 | Linear OOA(5132, large, F5, 2, 13) | [i] | ||
| 6 | Linear OOA(5134, large, F5, 2, 13) | [i] | ||
| 7 | Linear OOA(5136, large, F5, 2, 13) | [i] | ||
| 8 | Linear OOA(5138, large, F5, 2, 13) | [i] | ||
| 9 | Linear OOA(5140, large, F5, 2, 13) | [i] | ||
| 10 | Linear OOA(5142, large, F5, 2, 13) | [i] | ||
| 11 | Linear OOA(5144, large, F5, 2, 13) | [i] | ||
| 12 | Linear OOA(5146, large, F5, 2, 13) | [i] | ||
| 13 | Linear OOA(5148, large, F5, 2, 13) | [i] | ||
| 14 | Linear OOA(5150, large, F5, 2, 13) | [i] | ||
| 15 | Linear OOA(5123, 8388602, F5, 2, 13) (dual of [(8388602, 2), 16777081, 14]-NRT-code) | [i] | OOA Duplication | |
| 16 | Linear OOA(5122, 4194301, F5, 3, 13) (dual of [(4194301, 3), 12582781, 14]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(5122, 2796200, F5, 14, 13) (dual of [(2796200, 14), 39146678, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |