Information on Result #736886
Linear OA(3222, 59100, F3, 32) (dual of [59100, 58878, 33]-code), using construction X applied to Ce(31) ⊂ Ce(25) based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(3224, 59102, F3, 32) (dual of [59102, 58878, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3225, 59103, F3, 32) (dual of [59103, 58878, 33]-code) | [i] | ||
| 3 | Linear OOA(3222, 29550, F3, 2, 32) (dual of [(29550, 2), 58878, 33]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3222, 19700, F3, 3, 32) (dual of [(19700, 3), 58878, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(3222, 14775, F3, 4, 32) (dual of [(14775, 4), 58878, 33]-NRT-code) | [i] | ||
| 6 | Linear OOA(3222, 11820, F3, 5, 32) (dual of [(11820, 5), 58878, 33]-NRT-code) | [i] | ||