Information on Result #675140
Linear OA(3131, 19705, F3, 22) (dual of [19705, 19574, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) based on
- linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3109, 19683, F3, 19) (dual of [19683, 19574, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(34, 22, F3, 2) (dual of [22, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 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 OA(3132, 19706, F3, 22) (dual of [19706, 19574, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3133, 19707, F3, 22) (dual of [19707, 19574, 23]-code) | [i] | ||
| 3 | Linear OOA(3131, 9852, F3, 2, 22) (dual of [(9852, 2), 19573, 23]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3131, 6568, F3, 3, 22) (dual of [(6568, 3), 19573, 23]-NRT-code) | [i] | ||
| 5 | Linear OOA(3131, 4926, F3, 4, 22) (dual of [(4926, 4), 19573, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(3131, 3941, F3, 5, 22) (dual of [(3941, 5), 19574, 23]-NRT-code) | [i] | ||
| 7 | Linear OOA(3131, 1791, F3, 22, 22) (dual of [(1791, 22), 39271, 23]-NRT-code) | [i] | OA Folding and Stacking | |