Information on Result #736988
Linear OA(3188, 6604, F3, 34) (dual of [6604, 6416, 35]-code), using construction X applied to Ce(33) ⊂ Ce(27) based on
- linear OA(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 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(3190, 6606, F3, 34) (dual of [6606, 6416, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3191, 6607, F3, 34) (dual of [6607, 6416, 35]-code) | [i] | ||
| 3 | Linear OA(3192, 6608, F3, 34) (dual of [6608, 6416, 35]-code) | [i] | ||
| 4 | Linear OA(3187, 6603, F3, 33) (dual of [6603, 6416, 34]-code) | [i] | Truncation | |
| 5 | Linear OA(3192, 6609, F3, 34) (dual of [6609, 6417, 35]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(3188, 3302, F3, 2, 34) (dual of [(3302, 2), 6416, 35]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3188, 2201, F3, 3, 34) (dual of [(2201, 3), 6415, 35]-NRT-code) | [i] | ||
| 8 | Linear OOA(3188, 1651, F3, 4, 34) (dual of [(1651, 4), 6416, 35]-NRT-code) | [i] | ||