Information on Result #873212
Linear OOA(4936, 4194301, F49, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using OOA 2-folding based on linear OA(4936, 8388602, F49, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(4936, large, F49, 8) (dual of [large, large−36, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [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(4938, 4194302, F49, 2, 8) (dual of [(4194302, 2), 8388566, 9]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4937, 4194301, F49, 2, 8) (dual of [(4194301, 2), 8388565, 9]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(772, 8388602, F7, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code) | [i] | Trace Code for OOAs | |
| 4 | Linear OOA(4940, 4194351, F49, 2, 8) (dual of [(4194351, 2), 8388662, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(4941, 4194352, F49, 2, 8) (dual of [(4194352, 2), 8388663, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(4949, 7076703, F49, 2, 8) (dual of [(7076703, 2), 14153357, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(4950, 7076706, F49, 2, 8) (dual of [(7076706, 2), 14153362, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(4951, 7076753, F49, 2, 8) (dual of [(7076753, 2), 14153455, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(4952, 8388602, F49, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code) | [i] | ||