Information on Result #980388
Linear OOA(8147, 10944, F8, 3, 30) (dual of [(10944, 3), 32685, 31]-NRT-code), using OOA 3-folding based on linear OA(8147, 32832, F8, 30) (dual of [32832, 32685, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 32833, F8, 30) (dual of [32833, 32686, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(18) [i] based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(881, 32768, F8, 19) (dual of [32768, 32687, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(816, 65, F8, 10) (dual of [65, 49, 11]-code), using
- construction X applied to Ce(29) ⊂ Ce(18) [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(8148, 10944, F8, 3, 30) (dual of [(10944, 3), 32684, 31]-NRT-code) | [i] | OOA Duplication | |