Information on Result #697869
Linear OA(32100, 343, F32, 56) (dual of [343, 243, 57]-code), using construction X applied to Ce(55) ⊂ Ce(54) based on
- linear OA(32100, 342, F32, 56) (dual of [342, 242, 57]-code), using an extension Ce(55) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(3299, 342, F32, 55) (dual of [342, 243, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(320, 1, F32, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(32101, 344, F32, 56) (dual of [344, 243, 57]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3298, 341, F32, 54) (dual of [341, 243, 55]-code) | [i] | Truncation | |