Information on Result #978816
Linear OOA(844, 699056, F8, 3, 7) (dual of [(699056, 3), 2097124, 8]-NRT-code), using OOA 3-folding based on linear OA(844, 2097168, F8, 7) (dual of [2097168, 2097124, 8]-code), using
- construction X applied to C([0,3]) ⊂ C([0,2]) [i] based on
- linear OA(843, 2097153, F8, 7) (dual of [2097153, 2097110, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(829, 2097153, F8, 5) (dual of [2097153, 2097124, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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 OOA(845, 699056, F8, 3, 7) (dual of [(699056, 3), 2097123, 8]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8150, 6291458, F8, 3, 14) (dual of [(6291458, 3), 18874224, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8158, 6291458, F8, 3, 15) (dual of [(6291458, 3), 18874216, 16]-NRT-code) | [i] | ||