Information on Result #737111
Linear OA(3213, 2245, F3, 42) (dual of [2245, 2032, 43]-code), using construction X applied to Ce(42) ⊂ Ce(33) based on
- linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(3215, 2247, F3, 42) (dual of [2247, 2032, 43]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3216, 2248, F3, 42) (dual of [2248, 2032, 43]-code) | [i] | ||
| 3 | Linear OOA(3213, 1122, F3, 2, 42) (dual of [(1122, 2), 2031, 43]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3213, 748, F3, 3, 42) (dual of [(748, 3), 2031, 43]-NRT-code) | [i] | ||
| 5 | Linear OOA(3213, 561, F3, 4, 42) (dual of [(561, 4), 2031, 43]-NRT-code) | [i] | ||
| 6 | Linear OOA(3213, 449, F3, 5, 42) (dual of [(449, 5), 2032, 43]-NRT-code) | [i] | ||