Information on Result #618724
Linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(844, 524288, F8, 8) (dual of [524288, 524244, 9]-code) | [i] | Trace Code | |
| 2 | Linear OA(6426, 262209, F64, 8) (dual of [262209, 262183, 9]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6427, 262224, F64, 8) (dual of [262224, 262197, 9]-code) | [i] | ||
| 4 | Linear OA(6428, 266176, F64, 8) (dual of [266176, 266148, 9]-code) | [i] | ||
| 5 | Linear OA(6427, 262150, F64, 8) (dual of [262150, 262123, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(6428, 262274, F64, 8) (dual of [262274, 262246, 9]-code) | [i] | ||
| 7 | Linear OA(6425, 262147, F64, 9) (dual of [262147, 262122, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code) | [i] | ✔ | |
| 9 | Linear OA(6429, 262151, F64, 10) (dual of [262151, 262122, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(6423, 262151, F64, 8) (dual of [262151, 262128, 9]-code) | [i] | ✔ | |
| 11 | Linear OA(6433, 262155, F64, 11) (dual of [262155, 262122, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(6424, 262155, F64, 8) (dual of [262155, 262131, 9]-code) | [i] | ✔ | |
| 13 | Linear OA(6437, 262159, F64, 12) (dual of [262159, 262122, 13]-code) | [i] | ✔ | |
| 14 | Linear OA(6425, 262159, F64, 8) (dual of [262159, 262134, 9]-code) | [i] | ✔ | |
| 15 | Linear OA(6441, 262163, F64, 13) (dual of [262163, 262122, 14]-code) | [i] | ✔ | |
| 16 | Linear OA(6445, 262167, F64, 14) (dual of [262167, 262122, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(6449, 262171, F64, 15) (dual of [262171, 262122, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(6453, 262175, F64, 16) (dual of [262175, 262122, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(6432, 262155, F64, 10) (dual of [262155, 262123, 11]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 20 | Linear OOA(6422, 65536, F64, 8, 8) (dual of [(65536, 8), 524266, 9]-NRT-code) | [i] | OA Folding and Stacking | |