Information on Result #736972
Linear OA(3140, 6605, F3, 25) (dual of [6605, 6465, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(3140, 6605, F3, 24) (dual of [6605, 6465, 25]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3142, 6607, F3, 25) (dual of [6607, 6465, 26]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3143, 6608, F3, 25) (dual of [6608, 6465, 26]-code) | [i] | ||
| 4 | Linear OA(3139, 6604, F3, 24) (dual of [6604, 6465, 25]-code) | [i] | Truncation | |
| 5 | Linear OOA(3140, 3302, F3, 2, 25) (dual of [(3302, 2), 6464, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3140, 1651, F3, 4, 25) (dual of [(1651, 4), 6464, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(3140, 1321, F3, 5, 25) (dual of [(1321, 5), 6465, 26]-NRT-code) | [i] | ||