Information on Result #699297
Linear OA(8158, 6567, F81, 29) (dual of [6567, 6509, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,13]) 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(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]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(9116, 13134, F9, 29) (dual of [13134, 13018, 30]-code) | [i] | Trace Code | |
| 2 | OA(2778, 6567, S27, 29) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8174, 6683, F81, 29) (dual of [6683, 6609, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8177, 6727, F81, 29) (dual of [6727, 6650, 30]-code) | [i] | ||
| 5 | Linear OOA(8158, 3283, F81, 2, 29) (dual of [(3283, 2), 6508, 30]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8158, 2189, F81, 3, 29) (dual of [(2189, 3), 6509, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(8158, 1641, F81, 4, 29) (dual of [(1641, 4), 6506, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(8158, 469, F81, 29, 29) (dual of [(469, 29), 13543, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |