Information on Result #670387
Linear OA(8146, 6644, F81, 19) (dual of [6644, 6598, 20]-code), using (u, u+v)-construction based on
- linear OA(819, 82, F81, 9) (dual of [82, 73, 10]-code or 82-arc in PG(8,81)), using
- extended Reed–Solomon code RSe(73,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, 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, 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 OOA(8146, 3322, F81, 2, 19) (dual of [(3322, 2), 6598, 20]-NRT-code) | [i] | OOA Folding | |