Information on Result #686924
Linear OA(8109, 32816, F8, 22) (dual of [32816, 32707, 23]-code), using construction X applied to Ce(21) ⊂ Ce(13) based on
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(861, 32768, F8, 14) (dual of [32768, 32707, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(813, 48, F8, 7) (dual of [48, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(813, 63, F8, 7) (dual of [63, 50, 8]-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(8109, 16408, F8, 2, 22) (dual of [(16408, 2), 32707, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8109, 10938, F8, 3, 22) (dual of [(10938, 3), 32705, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(8109, 2983, F8, 22, 22) (dual of [(2983, 22), 65517, 23]-NRT-code) | [i] | OA Folding and Stacking | |