Information on Result #737083
Linear OA(3204, 2236, F3, 41) (dual of [2236, 2032, 42]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
- linear OA(3190, 2187, F3, 41) (dual of [2187, 1997, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(314, 49, F3, 6) (dual of [49, 35, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-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(3205, 2237, F3, 41) (dual of [2237, 2032, 42]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3207, 2239, F3, 41) (dual of [2239, 2032, 42]-code) | [i] | ||
| 3 | Linear OA(3208, 2240, F3, 41) (dual of [2240, 2032, 42]-code) | [i] | ||
| 4 | Linear OA(3209, 2241, F3, 41) (dual of [2241, 2032, 42]-code) | [i] | ||
| 5 | Linear OA(3210, 2242, F3, 41) (dual of [2242, 2032, 42]-code) | [i] | ||
| 6 | Linear OA(3205, 2238, F3, 41) (dual of [2238, 2033, 42]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OOA(3204, 1118, F3, 2, 41) (dual of [(1118, 2), 2032, 42]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3204, 745, F3, 3, 41) (dual of [(745, 3), 2031, 42]-NRT-code) | [i] | ||
| 9 | Linear OOA(3204, 559, F3, 4, 41) (dual of [(559, 4), 2032, 42]-NRT-code) | [i] | ||
| 10 | Linear OOA(3204, 447, F3, 5, 41) (dual of [(447, 5), 2031, 42]-NRT-code) | [i] | ||