Information on Result #686909
Linear OA(872, 32809, F8, 14) (dual of [32809, 32737, 15]-code), using construction X applied to Ce(13) ⊂ Ce(6) based on
- 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(831, 32768, F8, 7) (dual of [32768, 32737, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(811, 41, F8, 6) (dual of [41, 30, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-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(872, 16404, F8, 2, 14) (dual of [(16404, 2), 32736, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(872, 10936, F8, 3, 14) (dual of [(10936, 3), 32736, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(872, 4687, F8, 14, 14) (dual of [(4687, 14), 65546, 15]-NRT-code) | [i] | OA Folding and Stacking | |