Information on Result #735477
Linear OA(8136, 537929, F81, 10) (dual of [537929, 537893, 11]-code), using (u, u+v)-construction based on
- linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OA(8129, 531448, F81, 10) (dual of [531448, 531419, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(8128, 531441, F81, 10) (dual of [531441, 531413, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(8122, 531441, F81, 8) (dual of [531441, 531419, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(7) [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(8136, 268964, F81, 2, 10) (dual of [(268964, 2), 537892, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8136, 179309, F81, 3, 10) (dual of [(179309, 3), 537891, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(8136, 134482, F81, 4, 10) (dual of [(134482, 4), 537892, 11]-NRT-code) | [i] | ||