Information on Result #705631
Linear OA(3229, 784, F3, 55) (dual of [784, 555, 56]-code), using construction XX applied to C1 = C([343,391]), C2 = C([337,385]), C3 = C1 + C2 = C([343,385]), and C∩ = C1 ∩ C2 = C([337,391]) based on
- linear OA(3193, 728, F3, 49) (dual of [728, 535, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,391}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(3193, 728, F3, 49) (dual of [728, 535, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {337,338,…,385}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- 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(3169, 728, F3, 43) (dual of [728, 559, 44]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {343,344,…,385}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code) (see above)
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(3230, 785, F3, 55) (dual of [785, 555, 56]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3228, 783, F3, 54) (dual of [783, 555, 55]-code) | [i] | Truncation | |
| 3 | Linear OOA(3229, 392, F3, 2, 55) (dual of [(392, 2), 555, 56]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3229, 261, F3, 3, 55) (dual of [(261, 3), 554, 56]-NRT-code) | [i] | ||