Information on Result #699325
Linear OA(8182, 6579, F81, 39) (dual of [6579, 6497, 40]-code), using construction X applied to C([0,19]) ⊂ C([0,16]) based on
- linear OA(8177, 6562, F81, 39) (dual of [6562, 6485, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(8165, 6562, F81, 33) (dual of [6562, 6497, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(815, 17, F81, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,81)), using
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
- Reed–Solomon code RS(76,81) [i]
- discarding factors / shortening the dual code based on linear OA(815, 81, F81, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
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 | OA(27110, 6579, S27, 39) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(8182, 3289, F81, 2, 39) (dual of [(3289, 2), 6496, 40]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8182, 2193, F81, 3, 39) (dual of [(2193, 3), 6497, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(8182, 1644, F81, 4, 39) (dual of [(1644, 4), 6494, 40]-NRT-code) | [i] | ||