Information on Result #988609
Linear OOA(4941, 2796201, F49, 3, 9) (dual of [(2796201, 3), 8388562, 10]-NRT-code), using OOA 3-folding based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [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(4944, 2796202, F49, 3, 9) (dual of [(2796202, 3), 8388562, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4942, 2796201, F49, 3, 9) (dual of [(2796201, 3), 8388561, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4943, 2796201, F49, 3, 9) (dual of [(2796201, 3), 8388560, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(782, 5592402, F7, 3, 9) (dual of [(5592402, 3), 16777124, 10]-NRT-code) | [i] | Trace Code for OOAs | |
| 5 | Linear OOA(4945, 2796251, F49, 3, 9) (dual of [(2796251, 3), 8388708, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(4954, 5592402, F49, 3, 9) (dual of [(5592402, 3), 16777152, 10]-NRT-code) | [i] | ||