Information on Result #1323779
Linear OA(5142, 390687, F5, 21) (dual of [390687, 390545, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
- 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(581, 390626, F5, 13) (dual of [390626, 390545, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(513, 61, F5, 7) (dual of [61, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
Mode: 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(5143, 390688, F5, 21) (dual of [390688, 390545, 22]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5144, 390690, F5, 21) (dual of [390690, 390546, 22]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(5142, 195343, F5, 2, 21) (dual of [(195343, 2), 390544, 22]-NRT-code) | [i] | OOA Folding | |