Information on Result #704083
Linear OA(3213, 732, F3, 55) (dual of [732, 519, 56]-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(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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(3213, 366, F3, 2, 55) (dual of [(366, 2), 519, 56]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3213, 244, F3, 3, 55) (dual of [(244, 3), 519, 56]-NRT-code) | [i] | ||
| 3 | Linear OOA(3213, 183, F3, 4, 55) (dual of [(183, 4), 519, 56]-NRT-code) | [i] | ||