Information on Result #686885
Linear OA(863, 32800, F8, 13) (dual of [32800, 32737, 14]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(87, 32, F8, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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(864, 32801, F8, 13) (dual of [32801, 32737, 14]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(865, 32802, F8, 13) (dual of [32802, 32737, 14]-code) | [i] | ||
| 3 | Linear OOA(863, 16400, F8, 2, 13) (dual of [(16400, 2), 32737, 14]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(863, 10933, F8, 3, 13) (dual of [(10933, 3), 32736, 14]-NRT-code) | [i] | ||