Information on Result #619353
Linear OA(8167, 531442, F81, 23) (dual of [531442, 531375, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(9134, 1062884, F9, 23) (dual of [1062884, 1062750, 24]-code) | [i] | Trace Code | |
| 2 | Linear OA(8178, 531524, F81, 23) (dual of [531524, 531446, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8179, 531542, F81, 23) (dual of [531542, 531463, 24]-code) | [i] | ||
| 4 | Linear OA(8180, 531558, F81, 23) (dual of [531558, 531478, 24]-code) | [i] | ||
| 5 | Linear OA(8181, 531560, F81, 23) (dual of [531560, 531479, 24]-code) | [i] | ||
| 6 | Linear OA(8182, 531592, F81, 23) (dual of [531592, 531510, 24]-code) | [i] | ||
| 7 | Linear OA(8178, 531454, F81, 23) (dual of [531454, 531376, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 8 | Linear OA(8174, 531449, F81, 25) (dual of [531449, 531375, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(8168, 531449, F81, 23) (dual of [531449, 531381, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(8182, 531457, F81, 27) (dual of [531457, 531375, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(8170, 531457, F81, 23) (dual of [531457, 531387, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(8172, 531465, F81, 23) (dual of [531465, 531393, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(8174, 531473, F81, 23) (dual of [531473, 531399, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(8176, 531481, F81, 23) (dual of [531481, 531405, 24]-code) | [i] | ✔ | |