Information on Result #618896
Linear OA(6482, 262144, F64, 28) (dual of [262144, 262062, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28
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(8164, 524288, F8, 28) (dual of [524288, 524124, 29]-code) | [i] | Trace Code | |
| 2 | Linear OA(6485, 262147, F64, 29) (dual of [262147, 262062, 30]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(6482, 262147, F64, 28) (dual of [262147, 262065, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(6489, 262151, F64, 30) (dual of [262151, 262062, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(6483, 262151, F64, 28) (dual of [262151, 262068, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(6484, 262155, F64, 28) (dual of [262155, 262071, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(6485, 262159, F64, 28) (dual of [262159, 262074, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(6486, 262163, F64, 28) (dual of [262163, 262077, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(6487, 262167, F64, 28) (dual of [262167, 262080, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(6488, 262171, F64, 28) (dual of [262171, 262083, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(6489, 262175, F64, 28) (dual of [262175, 262086, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(6490, 262179, F64, 28) (dual of [262179, 262089, 29]-code) | [i] | ✔ | |
| 13 | Linear OA(6491, 262183, F64, 28) (dual of [262183, 262092, 29]-code) | [i] | ✔ | |
| 14 | Linear OOA(6482, 18724, F64, 28, 28) (dual of [(18724, 28), 524190, 29]-NRT-code) | [i] | OA Folding and Stacking | |