Information on Result #736906
Linear OA(3192, 19731, F3, 31) (dual of [19731, 19539, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,12]) based on
- linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 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(3192, 19731, F3, 30) (dual of [19731, 19539, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3194, 19733, F3, 31) (dual of [19733, 19539, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3195, 19734, F3, 31) (dual of [19734, 19539, 32]-code) | [i] | ||
| 4 | Linear OA(3196, 19735, F3, 31) (dual of [19735, 19539, 32]-code) | [i] | ||
| 5 | Linear OA(3191, 19730, F3, 30) (dual of [19730, 19539, 31]-code) | [i] | Truncation | |
| 6 | Linear OOA(3192, 9865, F3, 2, 31) (dual of [(9865, 2), 19538, 32]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3192, 6577, F3, 3, 31) (dual of [(6577, 3), 19539, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(3192, 4932, F3, 4, 31) (dual of [(4932, 4), 19536, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(3192, 3946, F3, 5, 31) (dual of [(3946, 5), 19538, 32]-NRT-code) | [i] | ||