Information on Result #679005
Linear OA(4247, 16463, F4, 43) (dual of [16463, 16216, 44]-code), using construction X applied to C([0,21]) ⊂ C([0,16]) based on
- linear OA(4225, 16385, F4, 43) (dual of [16385, 16160, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(4169, 16385, F4, 33) (dual of [16385, 16216, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(422, 78, F4, 9) (dual of [78, 56, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-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(4248, 16464, F4, 43) (dual of [16464, 16216, 44]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4249, 16465, F4, 43) (dual of [16465, 16216, 44]-code) | [i] | ||
| 3 | Linear OA(4250, 16466, F4, 43) (dual of [16466, 16216, 44]-code) | [i] | ||
| 4 | Linear OA(4251, 16467, F4, 43) (dual of [16467, 16216, 44]-code) | [i] | ||
| 5 | Linear OA(4252, 16468, F4, 43) (dual of [16468, 16216, 44]-code) | [i] | ||
| 6 | Linear OA(4253, 16469, F4, 43) (dual of [16469, 16216, 44]-code) | [i] | ||
| 7 | Linear OOA(4247, 8231, F4, 2, 43) (dual of [(8231, 2), 16215, 44]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(4247, 5487, F4, 3, 43) (dual of [(5487, 3), 16214, 44]-NRT-code) | [i] | ||