Information on Result #978773
Linear OOA(826, 10924, F8, 3, 6) (dual of [(10924, 3), 32746, 7]-NRT-code), using OOA 3-folding based on linear OA(826, 32772, F8, 6) (dual of [32772, 32746, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(826, 32773, F8, 6) (dual of [32773, 32747, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(821, 32768, F8, 5) (dual of [32768, 32747, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [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(829, 10933, F8, 3, 6) (dual of [(10933, 3), 32770, 7]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(830, 10989, F8, 3, 6) (dual of [(10989, 3), 32937, 7]-NRT-code) | [i] | ||
| 3 | Linear OOA(8116, 5603326, F8, 3, 12) (dual of [(5603326, 3), 16809862, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(8124, 5603326, F8, 3, 13) (dual of [(5603326, 3), 16809854, 14]-NRT-code) | [i] | ||