Information on Result #704080
Linear OA(3212, 735, F3, 54) (dual of [735, 523, 55]-code), using construction X applied to C([337,391]) ⊂ C([340,391]) based on
- linear OA(3211, 728, F3, 55) (dual of [728, 517, 56]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,391}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3205, 728, F3, 52) (dual of [728, 523, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {340,341,…,391}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(31, 7, F3, 1) (dual of [7, 6, 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 OOA(3212, 367, F3, 2, 54) (dual of [(367, 2), 522, 55]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3212, 245, F3, 3, 54) (dual of [(245, 3), 523, 55]-NRT-code) | [i] | ||
| 3 | Linear OOA(3212, 183, F3, 4, 54) (dual of [(183, 4), 520, 55]-NRT-code) | [i] | ||