Information on Result #690050
Linear OA(9150, 807, F9, 45) (dual of [807, 657, 46]-code), using construction X applied to C([0,22]) ⊂ C([0,13]) based on
- linear OA(9121, 730, F9, 45) (dual of [730, 609, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(929, 77, F9, 17) (dual of [77, 48, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(929, 78, F9, 17) (dual of [78, 49, 18]-code), using
- 4 times truncation [i] based on linear OA(933, 82, F9, 21) (dual of [82, 49, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- 4 times truncation [i] based on linear OA(933, 82, F9, 21) (dual of [82, 49, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(929, 78, F9, 17) (dual of [78, 49, 18]-code), 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(9150, 403, F9, 2, 45) (dual of [(403, 2), 656, 46]-NRT-code) | [i] | OOA Folding | |