Information on Result #2281489
Linear OA(8138, 32834, F8, 28) (dual of [32834, 32696, 29]-code), using 1 times code embedding in larger space based on linear OA(8137, 32833, F8, 28) (dual of [32833, 32696, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(16) [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(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(816, 65, F8, 10) (dual of [65, 49, 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(8138, 16417, F8, 2, 28) (dual of [(16417, 2), 32696, 29]-NRT-code) | [i] | OOA Folding | |