Information on Result #676559
Linear OA(3226, 741, F3, 59) (dual of [741, 515, 60]-code), using construction X applied to Ce(58) ⊂ Ce(55) based on
- linear OA(3223, 729, F3, 59) (dual of [729, 506, 60]-code), using an extension Ce(58) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3214, 729, F3, 56) (dual of [729, 515, 57]-code), using an extension Ce(55) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(33, 12, F3, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- discarding factors / shortening the dual code based on linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-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 OOA(3226, 247, F3, 3, 59) (dual of [(247, 3), 515, 60]-NRT-code) | [i] | OOA Folding | |