Information on Result #618919
Linear OA(6488, 262144, F64, 30) (dual of [262144, 262056, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
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(6491, 262147, F64, 31) (dual of [262147, 262056, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(6488, 262147, F64, 30) (dual of [262147, 262059, 31]-code) | [i] | ✔ | |
| 3 | Linear OA(6489, 262151, F64, 30) (dual of [262151, 262062, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(6490, 262155, F64, 30) (dual of [262155, 262065, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(6491, 262159, F64, 30) (dual of [262159, 262068, 31]-code) | [i] | ✔ | |
| 6 | Linear OOA(6488, 17476, F64, 30, 30) (dual of [(17476, 30), 524192, 31]-NRT-code) | [i] | OA Folding and Stacking | |