Information on Result #618816
Linear OA(6455, 262145, F64, 19) (dual of [262145, 262090, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(8110, 524290, F8, 19) (dual of [524290, 524180, 20]-code) | [i] | Trace Code | |
| 2 | Linear OA(6464, 262210, F64, 19) (dual of [262210, 262146, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6465, 262225, F64, 19) (dual of [262225, 262160, 20]-code) | [i] | ||
| 4 | Linear OA(6466, 262227, F64, 19) (dual of [262227, 262161, 20]-code) | [i] | ||
| 5 | Linear OA(6467, 262249, F64, 19) (dual of [262249, 262182, 20]-code) | [i] | ||
| 6 | Linear OA(6468, 262273, F64, 19) (dual of [262273, 262205, 20]-code) | [i] | ||
| 7 | Linear OA(6470, 262340, F64, 19) (dual of [262340, 262270, 20]-code) | [i] | ||
| 8 | Linear OA(6471, 262600, F64, 19) (dual of [262600, 262529, 20]-code) | [i] | ||
| 9 | Linear OA(6472, 266242, F64, 19) (dual of [266242, 266170, 20]-code) | [i] | ||
| 10 | Linear OA(6468, 262275, F64, 19) (dual of [262275, 262207, 20]-code) | [i] | ||
| 11 | Linear OA(6469, 262290, F64, 19) (dual of [262290, 262221, 20]-code) | [i] | ||
| 12 | Linear OA(6472, 262165, F64, 19) (dual of [262165, 262093, 20]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(6471, 262163, F64, 19) (dual of [262163, 262092, 20]-code) | [i] | ||
| 14 | Linear OA(6472, 262166, F64, 19) (dual of [262166, 262094, 20]-code) | [i] | ||
| 15 | Linear OA(6469, 262161, F64, 19) (dual of [262161, 262092, 20]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(6470, 262275, F64, 19) (dual of [262275, 262205, 20]-code) | [i] | ||
| 17 | Linear OA(6471, 262290, F64, 19) (dual of [262290, 262219, 20]-code) | [i] | ||
| 18 | Linear OA(6472, 262305, F64, 19) (dual of [262305, 262233, 20]-code) | [i] | ||
| 19 | Linear OA(6463, 262154, F64, 19) (dual of [262154, 262091, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 20 | Linear OA(6462, 262152, F64, 21) (dual of [262152, 262090, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(6456, 262152, F64, 19) (dual of [262152, 262096, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(6470, 262160, F64, 23) (dual of [262160, 262090, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(6458, 262160, F64, 19) (dual of [262160, 262102, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(6478, 262168, F64, 25) (dual of [262168, 262090, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(6460, 262168, F64, 19) (dual of [262168, 262108, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(6486, 262176, F64, 27) (dual of [262176, 262090, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(6462, 262176, F64, 19) (dual of [262176, 262114, 20]-code) | [i] | ✔ | |