Information on Result #736888
Linear OA(3192, 59100, F3, 28) (dual of [59100, 58908, 29]-code), using construction X applied to Ce(27) ⊂ Ce(21) based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3141, 59049, F3, 22) (dual of [59049, 58908, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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 OA(3194, 59102, F3, 28) (dual of [59102, 58908, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3195, 59103, F3, 28) (dual of [59103, 58908, 29]-code) | [i] | ||
| 3 | Linear OA(3196, 59104, F3, 28) (dual of [59104, 58908, 29]-code) | [i] | ||
| 4 | Linear OA(3191, 59099, F3, 27) (dual of [59099, 58908, 28]-code) | [i] | Truncation | |
| 5 | Linear OOA(3192, 29550, F3, 2, 28) (dual of [(29550, 2), 58908, 29]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3192, 19700, F3, 3, 28) (dual of [(19700, 3), 58908, 29]-NRT-code) | [i] | ||
| 7 | Linear OOA(3192, 14775, F3, 4, 28) (dual of [(14775, 4), 58908, 29]-NRT-code) | [i] | ||
| 8 | Linear OOA(3192, 11820, F3, 5, 28) (dual of [(11820, 5), 58908, 29]-NRT-code) | [i] | ||
| 9 | Linear OOA(3192, 4221, F3, 28, 28) (dual of [(4221, 28), 117996, 29]-NRT-code) | [i] | OA Folding and Stacking | |