Information on Result #686198
Linear OA(830, 2097168, F8, 5) (dual of [2097168, 2097138, 6]-code), using construction X applied to C([0,2]) ⊂ C([0,1]) based on
- 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(815, 2097153, F8, 3) (dual of [2097153, 2097138, 4]-code or 2097153-cap in PG(14,8)), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,1], and minimum distance d ≥ |{−1,0,1}|+1 = 4 (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(830, 1048584, F8, 2, 5) (dual of [(1048584, 2), 2097138, 6]-NRT-code) | [i] | OOA Folding | |