Information on Result #699368
Linear OA(8170, 6603, F81, 29) (dual of [6603, 6533, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,7]) based on
- linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(8113, 41, F81, 13) (dual of [41, 28, 14]-code or 41-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- Reed–Solomon code RS(68,81) [i]
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), 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 | Linear OOA(8170, 3301, F81, 2, 29) (dual of [(3301, 2), 6532, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8170, 2201, F81, 3, 29) (dual of [(2201, 3), 6533, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(8170, 1650, F81, 4, 29) (dual of [(1650, 4), 6530, 30]-NRT-code) | [i] | ||