Information on Result #978967
Linear OOA(846, 10924, F8, 3, 11) (dual of [(10924, 3), 32726, 12]-NRT-code), using OOA 3-folding based on linear OA(846, 32772, F8, 11) (dual of [32772, 32726, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(846, 32773, F8, 11) (dual of [32773, 32727, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(841, 32768, F8, 10) (dual of [32768, 32727, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(10) ⊂ Ce(9) [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(851, 10933, F8, 3, 11) (dual of [(10933, 3), 32748, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(852, 10938, F8, 3, 11) (dual of [(10938, 3), 32762, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(853, 10952, F8, 3, 11) (dual of [(10952, 3), 32803, 12]-NRT-code) | [i] | ||