Information on Result #678971
Linear OA(4134, 16420, F4, 24) (dual of [16420, 16286, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(4135, 16421, F4, 24) (dual of [16421, 16286, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4134, 13149, F4, 2, 24) (dual of [(13149, 2), 26164, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(4134, 13149, F4, 3, 24) (dual of [(13149, 3), 39313, 25]-NRT-code) | [i] | ||
| 4 | Digital (110, 134, 13149)-net over F4 | [i] | ||
| 5 | Linear OA(4136, 16423, F4, 24) (dual of [16423, 16287, 25]-code) | [i] | Construction X with Varšamov Bound | |
| 6 | Linear OOA(4134, 8210, F4, 2, 24) (dual of [(8210, 2), 16286, 25]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4134, 5473, F4, 3, 24) (dual of [(5473, 3), 16285, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(4134, 1368, F4, 24, 24) (dual of [(1368, 24), 32698, 25]-NRT-code) | [i] | OA Folding and Stacking | |