Information on Result #737244
Linear OA(4246, 16457, F4, 43) (dual of [16457, 16211, 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(421, 72, F4, 9) (dual of [72, 51, 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 OOA(4246, 8228, F4, 2, 43) (dual of [(8228, 2), 16210, 44]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4246, 5485, F4, 3, 43) (dual of [(5485, 3), 16209, 44]-NRT-code) | [i] | ||