Information on Result #682221
Linear OA(5146, 390643, F5, 23) (dual of [390643, 390497, 24]-code), using construction X applied to C([0,11]) ⊂ C([0,10]) based on
- linear OA(5145, 390626, F5, 23) (dual of [390626, 390481, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(5129, 390626, F5, 21) (dual of [390626, 390497, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(51, 17, F5, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(5147, 390644, F5, 23) (dual of [390644, 390497, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5148, 390645, F5, 23) (dual of [390645, 390497, 24]-code) | [i] | ||
| 3 | Linear OOA(5146, 195321, F5, 2, 23) (dual of [(195321, 2), 390496, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5146, 130214, F5, 3, 23) (dual of [(130214, 3), 390496, 24]-NRT-code) | [i] | ||