Information on Result #737047
Linear OA(3199, 2246, F3, 39) (dual of [2246, 2047, 40]-code), using construction X applied to C([0,19]) ⊂ C([0,15]) based on
- linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(3141, 2188, F3, 31) (dual of [2188, 2047, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(316, 58, F3, 7) (dual of [58, 42, 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(3201, 2248, F3, 39) (dual of [2248, 2047, 40]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3202, 2249, F3, 39) (dual of [2249, 2047, 40]-code) | [i] | ||
| 3 | Linear OA(3203, 2250, F3, 39) (dual of [2250, 2047, 40]-code) | [i] | ||
| 4 | Linear OA(3204, 2251, F3, 39) (dual of [2251, 2047, 40]-code) | [i] | ||
| 5 | Linear OA(3205, 2252, F3, 39) (dual of [2252, 2047, 40]-code) | [i] | ||
| 6 | Linear OA(3206, 2253, F3, 39) (dual of [2253, 2047, 40]-code) | [i] | ||
| 7 | Linear OOA(3199, 1123, F3, 2, 39) (dual of [(1123, 2), 2047, 40]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3199, 748, F3, 3, 39) (dual of [(748, 3), 2045, 40]-NRT-code) | [i] | ||
| 9 | Linear OOA(3199, 561, F3, 4, 39) (dual of [(561, 4), 2045, 40]-NRT-code) | [i] | ||
| 10 | Linear OOA(3199, 449, F3, 5, 39) (dual of [(449, 5), 2046, 40]-NRT-code) | [i] | ||