Information on Result #613740
Linear OA(534, 63, F5, 17) (dual of [63, 29, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(538, 67, F5, 19) (dual of [67, 29, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(534, 66, F5, 17) (dual of [66, 32, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(544, 73, F5, 21) (dual of [73, 29, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(542, 69, F5, 20) (dual of [69, 27, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(539, 74, F5, 17) (dual of [74, 35, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(543, 70, F5, 21) (dual of [70, 27, 22]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(538, 71, F5, 17) (dual of [71, 33, 18]-code) | [i] | ✔ | |