Information on Result #690047
Linear OA(9135, 798, F9, 41) (dual of [798, 663, 42]-code), using construction X applied to C([0,20]) ⊂ C([0,12]) based on
- linear OA(9109, 730, F9, 41) (dual of [730, 621, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(967, 730, F9, 25) (dual of [730, 663, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(926, 68, F9, 15) (dual of [68, 42, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(926, 80, F9, 15) (dual of [80, 54, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(926, 80, F9, 15) (dual of [80, 54, 16]-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 OA(9136, 799, F9, 41) (dual of [799, 663, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9135, 399, F9, 2, 41) (dual of [(399, 2), 663, 42]-NRT-code) | [i] | OOA Folding | |