Information on Result #689779
Linear OA(9123, 6587, F9, 33) (dual of [6587, 6464, 34]-code), using construction X applied to Ce(32) ⊂ Ce(27) based on
- linear OA(9117, 6561, F9, 33) (dual of [6561, 6444, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(997, 6561, F9, 28) (dual of [6561, 6464, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(96, 26, F9, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-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(9124, 6588, F9, 33) (dual of [6588, 6464, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9123, 3293, F9, 2, 33) (dual of [(3293, 2), 6463, 34]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9123, 2195, F9, 3, 33) (dual of [(2195, 3), 6462, 34]-NRT-code) | [i] | ||