Information on Result #991350
Linear OOA(8173, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using OOA 3-folding 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(8176, 2796202, F81, 3, 19) (dual of [(2796202, 3), 8388530, 20]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8179, 2796203, F81, 3, 19) (dual of [(2796203, 3), 8388530, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(8174, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388529, 20]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(8175, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388528, 20]-NRT-code) | [i] | ||
| 5 | Linear OOA(9146, 5592402, F9, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(8182, 2796283, F81, 3, 19) (dual of [(2796283, 3), 8388767, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |