Information on Result #689798
Linear OA(9128, 6592, F9, 34) (dual of [6592, 6464, 35]-code), using construction X applied to Ce(33) ⊂ Ce(27) based on
- linear OA(9121, 6561, F9, 34) (dual of [6561, 6440, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 94−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(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(9129, 6593, F9, 34) (dual of [6593, 6464, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9130, 6594, F9, 34) (dual of [6594, 6464, 35]-code) | [i] | ||
| 3 | Linear OA(9131, 6595, F9, 34) (dual of [6595, 6464, 35]-code) | [i] | ||
| 4 | Linear OA(9132, 6596, F9, 34) (dual of [6596, 6464, 35]-code) | [i] | ||
| 5 | Linear OOA(9128, 3296, F9, 2, 34) (dual of [(3296, 2), 6464, 35]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9128, 2197, F9, 3, 34) (dual of [(2197, 3), 6463, 35]-NRT-code) | [i] | ||