Information on Result #736831
Linear OA(3194, 4783036, F3, 20) (dual of [4783036, 4782842, 21]-code), using construction X applied to Ce(19) ⊂ Ce(13) based on
- linear OA(3183, 4782969, F3, 20) (dual of [4782969, 4782786, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(311, 67, F3, 5) (dual of [67, 56, 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(3195, 4783037, F3, 20) (dual of [4783037, 4782842, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(3194, 2391518, F3, 2, 20) (dual of [(2391518, 2), 4782842, 21]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3194, 1594345, F3, 3, 20) (dual of [(1594345, 3), 4782841, 21]-NRT-code) | [i] | ||
| 4 | Linear OOA(3194, 1195759, F3, 4, 20) (dual of [(1195759, 4), 4782842, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(3194, 956607, F3, 5, 20) (dual of [(956607, 5), 4782841, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(3194, 478303, F3, 20, 20) (dual of [(478303, 20), 9565866, 21]-NRT-code) | [i] | OA Folding and Stacking | |