Information on Result #736950
Linear OA(3197, 19744, F3, 31) (dual of [19744, 19547, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3136, 19683, F3, 23) (dual of [19683, 19547, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(316, 61, F3, 7) (dual of [61, 45, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-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(3199, 19746, F3, 31) (dual of [19746, 19547, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3200, 19747, F3, 31) (dual of [19747, 19547, 32]-code) | [i] | ||
| 3 | Linear OA(3196, 19743, F3, 30) (dual of [19743, 19547, 31]-code) | [i] | Truncation | |
| 4 | Linear OOA(3197, 9872, F3, 2, 31) (dual of [(9872, 2), 19547, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3197, 6581, F3, 3, 31) (dual of [(6581, 3), 19546, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(3197, 4936, F3, 4, 31) (dual of [(4936, 4), 19547, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3197, 3948, F3, 5, 31) (dual of [(3948, 5), 19543, 32]-NRT-code) | [i] | ||