Information on Result #618709
Linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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(832, 524288, F8, 6) (dual of [524288, 524256, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(6419, 262210, F64, 6) (dual of [262210, 262191, 7]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6420, 266241, F64, 6) (dual of [266241, 266221, 7]-code) | [i] | ||
| 4 | Linear OOA(6416, 208394, F64, 2, 6) (dual of [(208394, 2), 416772, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(6416, 208394, F64, 3, 6) (dual of [(208394, 3), 625166, 7]-NRT-code) | [i] | ||
| 6 | Digital (10, 16, 208394)-net over F64 | [i] | ||
| 7 | Linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(6416, 262147, F64, 6) (dual of [262147, 262131, 7]-code) | [i] | ✔ | |
| 9 | Linear OA(6423, 262151, F64, 8) (dual of [262151, 262128, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(6417, 262151, F64, 6) (dual of [262151, 262134, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(6427, 262155, F64, 9) (dual of [262155, 262128, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(6418, 262155, F64, 6) (dual of [262155, 262137, 7]-code) | [i] | ✔ | |
| 13 | Linear OA(6431, 262159, F64, 10) (dual of [262159, 262128, 11]-code) | [i] | ✔ | |
| 14 | Linear OA(6435, 262163, F64, 11) (dual of [262163, 262128, 12]-code) | [i] | ✔ | |
| 15 | Linear OA(6439, 262167, F64, 12) (dual of [262167, 262128, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(6417, 262152, F64, 6) (dual of [262152, 262135, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |