Information on Result #676606
Linear OA(3115, 741, F3, 29) (dual of [741, 626, 30]-code), using construction X applied to Ce(28) ⊂ Ce(25) based on
- linear OA(3112, 729, F3, 29) (dual of [729, 617, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3115, 370, F3, 2, 29) (dual of [(370, 2), 625, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3115, 247, F3, 3, 29) (dual of [(247, 3), 626, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(3115, 185, F3, 4, 29) (dual of [(185, 4), 625, 30]-NRT-code) | [i] | ||
| 4 | Linear OOA(3115, 148, F3, 5, 29) (dual of [(148, 5), 625, 30]-NRT-code) | [i] | ||