Information on Result #816761
Linear OOA(3218, 1118, F3, 2, 44) (dual of [(1118, 2), 2018, 45]-NRT-code), using OOA 2-folding based on linear OA(3218, 2236, F3, 44) (dual of [2236, 2018, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(36) [i] based on
- linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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 OOA(3220, 1119, F3, 2, 44) (dual of [(1119, 2), 2018, 45]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3222, 1120, F3, 2, 44) (dual of [(1120, 2), 2018, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(3224, 1121, F3, 2, 44) (dual of [(1121, 2), 2018, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(3219, 1118, F3, 2, 44) (dual of [(1118, 2), 2017, 45]-NRT-code) | [i] | OOA Duplication | |