Information on Result #687832
Linear OA(8119, 571, F8, 37) (dual of [571, 452, 38]-code), using construction X applied to C([0,18]) ⊂ C([0,11]) based on
- linear OA(897, 513, F8, 37) (dual of [513, 416, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(861, 513, F8, 23) (dual of [513, 452, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(822, 58, F8, 13) (dual of [58, 36, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(822, 63, F8, 13) (dual of [63, 41, 14]-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(8120, 572, F8, 37) (dual of [572, 452, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8119, 285, F8, 2, 37) (dual of [(285, 2), 451, 38]-NRT-code) | [i] | OOA Folding | |