Information on Result #618799
Linear OA(6449, 262145, F64, 17) (dual of [262145, 262096, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 646−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(898, 524290, F8, 17) (dual of [524290, 524192, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(6457, 262210, F64, 17) (dual of [262210, 262153, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6458, 262225, F64, 17) (dual of [262225, 262167, 18]-code) | [i] | ||
| 4 | Linear OA(6459, 262227, F64, 17) (dual of [262227, 262168, 18]-code) | [i] | ||
| 5 | Linear OA(6460, 262249, F64, 17) (dual of [262249, 262189, 18]-code) | [i] | ||
| 6 | Linear OA(6461, 262273, F64, 17) (dual of [262273, 262212, 18]-code) | [i] | ||
| 7 | Linear OA(6462, 262340, F64, 17) (dual of [262340, 262278, 18]-code) | [i] | ||
| 8 | Linear OA(6463, 262600, F64, 17) (dual of [262600, 262537, 18]-code) | [i] | ||
| 9 | Linear OA(6464, 266241, F64, 17) (dual of [266241, 266177, 18]-code) | [i] | ||
| 10 | Linear OA(6461, 262275, F64, 17) (dual of [262275, 262214, 18]-code) | [i] | ||
| 11 | Linear OA(6464, 262163, F64, 17) (dual of [262163, 262099, 18]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(6461, 262159, F64, 17) (dual of [262159, 262098, 18]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 13 | Linear OA(6462, 262275, F64, 17) (dual of [262275, 262213, 18]-code) | [i] | ||
| 14 | Linear OA(6463, 262290, F64, 17) (dual of [262290, 262227, 18]-code) | [i] | ||
| 15 | Linear OA(6464, 262305, F64, 17) (dual of [262305, 262241, 18]-code) | [i] | ||
| 16 | Linear OA(6457, 262154, F64, 17) (dual of [262154, 262097, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 17 | Linear OA(6456, 262152, F64, 19) (dual of [262152, 262096, 20]-code) | [i] | ✔ | |
| 18 | Linear OA(6450, 262152, F64, 17) (dual of [262152, 262102, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(6464, 262160, F64, 21) (dual of [262160, 262096, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(6452, 262160, F64, 17) (dual of [262160, 262108, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(6472, 262168, F64, 23) (dual of [262168, 262096, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(6454, 262168, F64, 17) (dual of [262168, 262114, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(6480, 262176, F64, 25) (dual of [262176, 262096, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(6456, 262176, F64, 17) (dual of [262176, 262120, 18]-code) | [i] | ✔ | |
| 25 | Linear OA(6488, 262184, F64, 27) (dual of [262184, 262096, 28]-code) | [i] | ✔ | |
| 26 | Linear OOA(6449, 32768, F64, 17, 17) (dual of [(32768, 17), 557007, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |