Information on Result #618834
Linear OA(6461, 262145, F64, 21) (dual of [262145, 262084, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, 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(8122, 524290, F8, 21) (dual of [524290, 524168, 22]-code) | [i] | Trace Code | |
| 2 | Linear OA(6471, 262210, F64, 21) (dual of [262210, 262139, 22]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6472, 262225, F64, 21) (dual of [262225, 262153, 22]-code) | [i] | ||
| 4 | Linear OA(6473, 262227, F64, 21) (dual of [262227, 262154, 22]-code) | [i] | ||
| 5 | Linear OA(6474, 262249, F64, 21) (dual of [262249, 262175, 22]-code) | [i] | ||
| 6 | Linear OA(6475, 262251, F64, 21) (dual of [262251, 262176, 22]-code) | [i] | ||
| 7 | Linear OA(6476, 262273, F64, 21) (dual of [262273, 262197, 22]-code) | [i] | ||
| 8 | Linear OA(6477, 262340, F64, 21) (dual of [262340, 262263, 22]-code) | [i] | ||
| 9 | Linear OA(6479, 262730, F64, 21) (dual of [262730, 262651, 22]-code) | [i] | ||
| 10 | Linear OA(6480, 266241, F64, 21) (dual of [266241, 266161, 22]-code) | [i] | ||
| 11 | Linear OA(6476, 262275, F64, 21) (dual of [262275, 262199, 22]-code) | [i] | ||
| 12 | Linear OA(6480, 262166, F64, 21) (dual of [262166, 262086, 22]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(6477, 262163, F64, 21) (dual of [262163, 262086, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 14 | Linear OA(6478, 262275, F64, 21) (dual of [262275, 262197, 22]-code) | [i] | ||
| 15 | Linear OA(6479, 262290, F64, 21) (dual of [262290, 262211, 22]-code) | [i] | ||
| 16 | Linear OA(6480, 262305, F64, 21) (dual of [262305, 262225, 22]-code) | [i] | ||
| 17 | Linear OA(6471, 262156, F64, 21) (dual of [262156, 262085, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 18 | Linear OA(6468, 262152, F64, 23) (dual of [262152, 262084, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(6462, 262152, F64, 21) (dual of [262152, 262090, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(6476, 262160, F64, 25) (dual of [262160, 262084, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(6464, 262160, F64, 21) (dual of [262160, 262096, 22]-code) | [i] | ✔ | |
| 22 | Linear OA(6484, 262168, F64, 27) (dual of [262168, 262084, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(6466, 262168, F64, 21) (dual of [262168, 262102, 22]-code) | [i] | ✔ | |
| 24 | Linear OA(6491, 262175, F64, 28) (dual of [262175, 262084, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(6468, 262176, F64, 21) (dual of [262176, 262108, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(6470, 262184, F64, 21) (dual of [262184, 262114, 22]-code) | [i] | ✔ | |