Information on Result #686372
Linear OA(8168, 2097235, F8, 25) (dual of [2097235, 2097067, 26]-code), using construction X applied to Ce(24) ⊂ Ce(13) based on
- linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(885, 2097152, F8, 14) (dual of [2097152, 2097067, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(820, 83, F8, 10) (dual of [83, 63, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(820, 130, F8, 10) (dual of [130, 110, 11]-code), using
- trace code [i] based on linear OA(6410, 65, F64, 10) (dual of [65, 55, 11]-code or 65-arc in PG(9,64)), using
- extended Reed–Solomon code RSe(55,64) [i]
- trace code [i] based on linear OA(6410, 65, F64, 10) (dual of [65, 55, 11]-code or 65-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(820, 130, F8, 10) (dual of [130, 110, 11]-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(8167, 2097234, F8, 24) (dual of [2097234, 2097067, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(8168, 1048617, F8, 2, 25) (dual of [(1048617, 2), 2097066, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8168, 699078, F8, 3, 25) (dual of [(699078, 3), 2097066, 26]-NRT-code) | [i] | ||