Information on Result #628967
Linear OA(9102, 164, F9, 51) (dual of [164, 62, 52]-code), using trace code based on linear OA(8151, 82, F81, 51) (dual of [82, 31, 52]-code or 82-arc in PG(50,81)), using
- extended Reed–Solomon code RSe(31,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9103, 165, F9, 51) (dual of [165, 62, 52]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9102, 82, F9, 2, 51) (dual of [(82, 2), 62, 52]-NRT-code) | [i] | OOA Folding | |