Information on Result #618879
Linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(8152, 524288, F8, 26) (dual of [524288, 524136, 27]-code) | [i] | Trace Code | |
| 2 | Linear OA(6489, 262209, F64, 26) (dual of [262209, 262120, 27]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6490, 262224, F64, 26) (dual of [262224, 262134, 27]-code) | [i] | ||
| 4 | Linear OA(6491, 262226, F64, 26) (dual of [262226, 262135, 27]-code) | [i] | ||
| 5 | Linear OA(6479, 262147, F64, 27) (dual of [262147, 262068, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(6476, 262147, F64, 26) (dual of [262147, 262071, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(6483, 262151, F64, 28) (dual of [262151, 262068, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(6477, 262151, F64, 26) (dual of [262151, 262074, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(6487, 262155, F64, 29) (dual of [262155, 262068, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(6478, 262155, F64, 26) (dual of [262155, 262077, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(6491, 262159, F64, 30) (dual of [262159, 262068, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(6479, 262159, F64, 26) (dual of [262159, 262080, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(6480, 262163, F64, 26) (dual of [262163, 262083, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(6481, 262167, F64, 26) (dual of [262167, 262086, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(6482, 262171, F64, 26) (dual of [262171, 262089, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(6483, 262175, F64, 26) (dual of [262175, 262092, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(6484, 262179, F64, 26) (dual of [262179, 262095, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(6485, 262183, F64, 26) (dual of [262183, 262098, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(6486, 262187, F64, 26) (dual of [262187, 262101, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(6487, 262191, F64, 26) (dual of [262191, 262104, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(6488, 262195, F64, 26) (dual of [262195, 262107, 27]-code) | [i] | ✔ | |