Information on Result #670264
Linear OA(8166, 6644, F81, 27) (dual of [6644, 6578, 28]-code), using (u, u+v)-construction based on
- linear OA(8113, 82, F81, 13) (dual of [82, 69, 14]-code or 82-arc in PG(12,81)), using
- extended Reed–Solomon code RSe(69,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(8166, 3322, F81, 2, 27) (dual of [(3322, 2), 6578, 28]-NRT-code) | [i] | OOA Folding | |