Information on Result #944670
Linear OOA(817, 16390, F8, 3, 4) (dual of [(16390, 3), 49153, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(817, 32780, F8, 4) (dual of [32780, 32763, 5]-code), using
- construction X4 applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(816, 32768, F8, 4) (dual of [32768, 32752, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(86, 32768, F8, 2) (dual of [32768, 32762, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(811, 12, F8, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,8)), using
- dual of repetition code with length 12 [i]
- linear OA(81, 12, F8, 1) (dual of [12, 11, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(81, 511, F8, 1) (dual of [511, 510, 2]-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(875, 5608792, F8, 3, 8) (dual of [(5608792, 3), 16826301, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(883, 5608792, F8, 3, 9) (dual of [(5608792, 3), 16826293, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(817, 16390, F8, 4, 4) (dual of [(16390, 4), 65543, 5]-NRT-code) | [i] | Appending kth Column | |