Information on Result #675094
Linear OA(3118, 19692, F3, 20) (dual of [19692, 19574, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(3118, 19683, F3, 20) (dual of [19683, 19565, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(30, 9, F3, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3119, 19693, F3, 20) (dual of [19693, 19574, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3120, 19694, F3, 20) (dual of [19694, 19574, 21]-code) | [i] | ||
| 3 | Linear OOA(3118, 9846, F3, 2, 20) (dual of [(9846, 2), 19574, 21]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3118, 6564, F3, 3, 20) (dual of [(6564, 3), 19574, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(3118, 4923, F3, 4, 20) (dual of [(4923, 4), 19574, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(3118, 3938, F3, 5, 20) (dual of [(3938, 5), 19572, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(3118, 1969, F3, 20, 20) (dual of [(1969, 20), 39262, 21]-NRT-code) | [i] | OA Folding and Stacking | |