Information on Result #614252
Linear OA(729, 823544, F7, 5) (dual of [823544, 823515, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 823544 | 714−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound)
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(731, 823552, F7, 5) (dual of [823552, 823521, 6]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(732, 823601, F7, 5) (dual of [823601, 823569, 6]-code) | [i] | ||
| 3 | Linear OA(732, 823560, F7, 5) (dual of [823560, 823528, 6]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(731, 823547, F7, 5) (dual of [823547, 823516, 6]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(744, 823559, F7, 7) (dual of [823559, 823515, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(730, 823559, F7, 5) (dual of [823559, 823529, 6]-code) | [i] | ✔ | |
| 7 | Linear OA(744, 823560, F7, 7) (dual of [823560, 823516, 8]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 8 | Linear OA(730, 823560, F7, 5) (dual of [823560, 823530, 6]-code) | [i] | ✔ | |