Information on Result #737080
Linear OA(3213, 2238, F3, 43) (dual of [2238, 2025, 44]-code), using construction X applied to Ce(42) ⊂ Ce(34) 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(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(316, 51, F3, 7) (dual of [51, 35, 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, 2240, F3, 43) (dual of [2240, 2025, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3216, 2241, F3, 43) (dual of [2241, 2025, 44]-code) | [i] | ||
| 3 | Linear OA(3217, 2242, F3, 43) (dual of [2242, 2025, 44]-code) | [i] | ||
| 4 | Linear OA(3212, 2237, F3, 42) (dual of [2237, 2025, 43]-code) | [i] | Truncation | |
| 5 | Linear OOA(3213, 1119, F3, 2, 43) (dual of [(1119, 2), 2025, 44]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(3213, 746, F3, 3, 43) (dual of [(746, 3), 2025, 44]-NRT-code) | [i] | ||
| 7 | Linear OOA(3213, 559, F3, 4, 43) (dual of [(559, 4), 2023, 44]-NRT-code) | [i] | ||
| 8 | Linear OOA(3213, 447, F3, 5, 43) (dual of [(447, 5), 2022, 44]-NRT-code) | [i] | ||