Information on Result #686244
Linear OA(857, 2097159, F8, 10) (dual of [2097159, 2097102, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- linear OA(857, 2097152, F8, 10) (dual of [2097152, 2097095, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(850, 2097152, F8, 9) (dual of [2097152, 2097102, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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
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 OA(858, 2097160, F8, 10) (dual of [2097160, 2097102, 11]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(864, 2097216, F8, 10) (dual of [2097216, 2097152, 11]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OOA(857, 1048579, F8, 2, 10) (dual of [(1048579, 2), 2097101, 11]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(857, 699053, F8, 3, 10) (dual of [(699053, 3), 2097102, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(857, 419431, F8, 10, 10) (dual of [(419431, 10), 4194253, 11]-NRT-code) | [i] | OA Folding and Stacking | |