Information on Result #689796
Linear OA(9136, 6592, F9, 36) (dual of [6592, 6456, 37]-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(97, 31, F9, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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(9137, 6593, F9, 36) (dual of [6593, 6456, 37]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9136, 3296, F9, 2, 36) (dual of [(3296, 2), 6456, 37]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9136, 2197, F9, 3, 36) (dual of [(2197, 3), 6455, 37]-NRT-code) | [i] | ||