Information on Result #686980
Linear OA(8170, 32847, F8, 34) (dual of [32847, 32677, 35]-code), using construction X applied to Ce(33) ⊂ Ce(20) based on
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(824, 79, F8, 12) (dual of [79, 55, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(824, 130, F8, 12) (dual of [130, 106, 13]-code), using
- trace code [i] based on linear OA(6412, 65, F64, 12) (dual of [65, 53, 13]-code or 65-arc in PG(11,64)), using
- extended Reed–Solomon code RSe(53,64) [i]
- trace code [i] based on linear OA(6412, 65, F64, 12) (dual of [65, 53, 13]-code or 65-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(824, 130, F8, 12) (dual of [130, 106, 13]-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(8171, 32848, F8, 34) (dual of [32848, 32677, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8170, 16423, F8, 2, 34) (dual of [(16423, 2), 32676, 35]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8170, 10949, F8, 3, 34) (dual of [(10949, 3), 32677, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(8170, 1932, F8, 34, 34) (dual of [(1932, 34), 65518, 35]-NRT-code) | [i] | OA Folding and Stacking | |