Information on Result #619339
Linear OA(8161, 531442, F81, 21) (dual of [531442, 531381, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(9122, 1062884, F9, 21) (dual of [1062884, 1062762, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(8171, 531524, F81, 21) (dual of [531524, 531453, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8172, 531542, F81, 21) (dual of [531542, 531470, 22]-code) | [i] | ||
| 4 | Linear OA(8173, 531558, F81, 21) (dual of [531558, 531485, 22]-code) | [i] | ||
| 5 | Linear OA(8174, 531560, F81, 21) (dual of [531560, 531486, 22]-code) | [i] | ||
| 6 | Linear OA(8175, 531592, F81, 21) (dual of [531592, 531517, 22]-code) | [i] | ||
| 7 | Linear OA(8176, 531606, F81, 21) (dual of [531606, 531530, 22]-code) | [i] | ||
| 8 | Linear OA(8178, 531770, F81, 21) (dual of [531770, 531692, 22]-code) | [i] | ||
| 9 | Linear OA(8179, 531851, F81, 21) (dual of [531851, 531772, 22]-code) | [i] | ||
| 10 | Linear OA(8180, 538003, F81, 21) (dual of [538003, 537923, 22]-code) | [i] | ||
| 11 | Linear OA(8177, 531624, F81, 21) (dual of [531624, 531547, 22]-code) | [i] | ||
| 12 | Linear OA(8180, 531463, F81, 21) (dual of [531463, 531383, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(8177, 531460, F81, 21) (dual of [531460, 531383, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(8178, 531606, F81, 21) (dual of [531606, 531528, 22]-code) | [i] | ||
| 15 | Linear OA(8179, 531624, F81, 21) (dual of [531624, 531545, 22]-code) | [i] | ||
| 16 | Linear OA(8180, 531642, F81, 21) (dual of [531642, 531562, 22]-code) | [i] | ||
| 17 | Linear OA(8171, 531453, F81, 21) (dual of [531453, 531382, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(8168, 531449, F81, 23) (dual of [531449, 531381, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(8162, 531449, F81, 21) (dual of [531449, 531387, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(8176, 531457, F81, 25) (dual of [531457, 531381, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(8164, 531457, F81, 21) (dual of [531457, 531393, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(8166, 531465, F81, 21) (dual of [531465, 531399, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(8168, 531473, F81, 21) (dual of [531473, 531405, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(8170, 531481, F81, 21) (dual of [531481, 531411, 22]-code) | [i] | ✔ | |