Information on Result #613117
Linear OA(4253, 262144, F4, 38) (dual of [262144, 261891, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(4253, 262153, F4, 38) (dual of [262153, 261900, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4256, 262165, F4, 38) (dual of [262165, 261909, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(4258, 262176, F4, 38) (dual of [262176, 261918, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(4260, 262187, F4, 38) (dual of [262187, 261927, 39]-code) | [i] | ✔ | |
| 5 | Linear OOA(4253, 13797, F4, 38, 38) (dual of [(13797, 38), 524033, 39]-NRT-code) | [i] | OA Folding and Stacking | |