Information on Result #1068957
Linear OOA(8165, 2097150, F81, 4, 17) (dual of [(2097150, 4), 8388535, 18]-NRT-code), using OOA 4-folding based on linear OA(8165, 8388600, F81, 17) (dual of [8388600, 8388535, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(8166, 2097150, F81, 4, 17) (dual of [(2097150, 4), 8388534, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8173, 2097232, F81, 4, 17) (dual of [(2097232, 4), 8388855, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8174, 2097250, F81, 4, 17) (dual of [(2097250, 4), 8388926, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8175, 2097266, F81, 4, 17) (dual of [(2097266, 4), 8388989, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(8177, 2097314, F81, 4, 17) (dual of [(2097314, 4), 8389179, 18]-NRT-code) | [i] | ||
| 6 | Linear OOA(8178, 2097332, F81, 4, 17) (dual of [(2097332, 4), 8389250, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(8179, 2097350, F81, 4, 17) (dual of [(2097350, 4), 8389321, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(8179, 2097396, F81, 4, 17) (dual of [(2097396, 4), 8389505, 18]-NRT-code) | [i] | ||