Information on Result #845033
Linear OOA(8121, 16386, F8, 2, 28) (dual of [(16386, 2), 32651, 29]-NRT-code), using OOA 2-folding based on linear OA(8121, 32772, F8, 28) (dual of [32772, 32651, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8121, 32773, F8, 28) (dual of [32773, 32652, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(8121, 32768, F8, 28) (dual of [32768, 32647, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
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(8142, 16420, F8, 2, 28) (dual of [(16420, 2), 32698, 29]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(8143, 16421, F8, 2, 28) (dual of [(16421, 2), 32699, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(8144, 16431, F8, 2, 28) (dual of [(16431, 2), 32718, 29]-NRT-code) | [i] | ||