Information on Result #689795
Linear OA(9139, 6595, F9, 37) (dual of [6595, 6456, 38]-code), using construction X applied to Ce(36) ⊂ Ce(29) based on
- linear OA(9129, 6561, F9, 37) (dual of [6561, 6432, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(9105, 6561, F9, 30) (dual of [6561, 6456, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(910, 34, F9, 6) (dual of [34, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-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(9140, 6596, F9, 37) (dual of [6596, 6456, 38]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9138, 6594, F9, 36) (dual of [6594, 6456, 37]-code) | [i] | Truncation | |
| 3 | Linear OOA(9139, 3297, F9, 2, 37) (dual of [(3297, 2), 6455, 38]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9139, 2198, F9, 3, 37) (dual of [(2198, 3), 6455, 38]-NRT-code) | [i] | ||