Information on Result #736892
Linear OA(3142, 59100, F3, 20) (dual of [59100, 58958, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(391, 59049, F3, 14) (dual of [59049, 58958, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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 OOA(3142, 29550, F3, 2, 20) (dual of [(29550, 2), 58958, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3142, 19700, F3, 3, 20) (dual of [(19700, 3), 58958, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(3142, 14775, F3, 4, 20) (dual of [(14775, 4), 58958, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3142, 11820, F3, 5, 20) (dual of [(11820, 5), 58958, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(3142, 5910, F3, 20, 20) (dual of [(5910, 20), 118058, 21]-NRT-code) | [i] | OA Folding and Stacking | |