Information on Result #876679
Linear OOA(8173, 4194301, F81, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using OOA 2-folding based on linear OA(8173, 8388602, F81, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(8175, 4194302, F81, 2, 19) (dual of [(4194302, 2), 8388529, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8177, 4194303, F81, 2, 19) (dual of [(4194303, 2), 8388529, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(8179, 4194304, F81, 2, 19) (dual of [(4194304, 2), 8388529, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(8181, 4194305, F81, 2, 19) (dual of [(4194305, 2), 8388529, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(8174, 4194301, F81, 2, 19) (dual of [(4194301, 2), 8388528, 20]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(9146, 8388602, F9, 2, 19) (dual of [(8388602, 2), 16777058, 20]-NRT-code) | [i] | Trace Code for OOAs | |
| 7 | Linear OOA(8182, 4194383, F81, 2, 19) (dual of [(4194383, 2), 8388684, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |