Information on Result #618754
Linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(868, 524288, F8, 12) (dual of [524288, 524220, 13]-code) | [i] | Trace Code | |
| 2 | Linear OA(6440, 262209, F64, 12) (dual of [262209, 262169, 13]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6441, 262224, F64, 12) (dual of [262224, 262183, 13]-code) | [i] | ||
| 4 | Linear OA(6442, 262226, F64, 12) (dual of [262226, 262184, 13]-code) | [i] | ||
| 5 | Linear OA(6443, 262272, F64, 12) (dual of [262272, 262229, 13]-code) | [i] | ||
| 6 | Linear OA(6444, 262460, F64, 12) (dual of [262460, 262416, 13]-code) | [i] | ||
| 7 | Linear OA(6443, 262274, F64, 12) (dual of [262274, 262231, 13]-code) | [i] | ||
| 8 | Linear OA(6443, 262154, F64, 12) (dual of [262154, 262111, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(6444, 262274, F64, 12) (dual of [262274, 262230, 13]-code) | [i] | ||
| 10 | Linear OA(6437, 262147, F64, 13) (dual of [262147, 262110, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(6434, 262147, F64, 12) (dual of [262147, 262113, 13]-code) | [i] | ✔ | |
| 12 | Linear OA(6441, 262151, F64, 14) (dual of [262151, 262110, 15]-code) | [i] | ✔ | |
| 13 | Linear OA(6435, 262151, F64, 12) (dual of [262151, 262116, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(6445, 262155, F64, 15) (dual of [262155, 262110, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(6436, 262155, F64, 12) (dual of [262155, 262119, 13]-code) | [i] | ✔ | |
| 16 | Linear OA(6449, 262159, F64, 16) (dual of [262159, 262110, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(6437, 262159, F64, 12) (dual of [262159, 262122, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(6453, 262163, F64, 17) (dual of [262163, 262110, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(6438, 262163, F64, 12) (dual of [262163, 262125, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(6457, 262167, F64, 18) (dual of [262167, 262110, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(6439, 262167, F64, 12) (dual of [262167, 262128, 13]-code) | [i] | ✔ | |
| 22 | Linear OA(6461, 262171, F64, 19) (dual of [262171, 262110, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(6465, 262175, F64, 20) (dual of [262175, 262110, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(6469, 262179, F64, 21) (dual of [262179, 262110, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(6473, 262183, F64, 22) (dual of [262183, 262110, 23]-code) | [i] | ✔ | |
| 26 | Linear OA(6477, 262187, F64, 23) (dual of [262187, 262110, 24]-code) | [i] | ✔ | |
| 27 | Linear OA(6481, 262191, F64, 24) (dual of [262191, 262110, 25]-code) | [i] | ✔ | |