Information on Result #618557
Linear OA(4953, 5764801, F49, 14) (dual of [5764801, 5764748, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(7106, large, F7, 14) (dual of [large, large−106, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(4953, 5764805, F49, 14) (dual of [5764805, 5764752, 15]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(4954, 5764810, F49, 14) (dual of [5764810, 5764756, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(4955, 5764815, F49, 14) (dual of [5764815, 5764760, 15]-code) | [i] | ✔ | |
| 5 | Linear OOA(4953, 823543, F49, 14, 14) (dual of [(823543, 14), 11529549, 15]-NRT-code) | [i] | OA Folding and Stacking | |