Information on Result #686968
Linear OA(8151, 32838, F8, 30) (dual of [32838, 32687, 31]-code), using construction X applied to Ce(29) ⊂ Ce(18) based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(820, 70, F8, 10) (dual of [70, 50, 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 OOA(8151, 10946, F8, 3, 30) (dual of [(10946, 3), 32687, 31]-NRT-code) | [i] | OOA Folding | |