Information on Result #674546
Linear OA(3242, 531466, F3, 30) (dual of [531466, 531224, 31]-code), using construction X applied to Ce(30) ⊂ Ce(27) based on
- linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(31, 25, F3, 1) (dual of [25, 24, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3243, 531467, F3, 30) (dual of [531467, 531224, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3242, 265733, F3, 2, 30) (dual of [(265733, 2), 531224, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3242, 177155, F3, 3, 30) (dual of [(177155, 3), 531223, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(3242, 132866, F3, 4, 30) (dual of [(132866, 4), 531222, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(3242, 106293, F3, 5, 30) (dual of [(106293, 5), 531223, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(3242, 35431, F3, 30, 30) (dual of [(35431, 30), 1062688, 31]-NRT-code) | [i] | OA Folding and Stacking | |