Information on Result #613790
Linear OA(540, 63, F5, 21) (dual of [63, 23, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(543, 66, F5, 22) (dual of [66, 23, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(541, 67, F5, 21) (dual of [67, 26, 22]-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(544, 76, F5, 20) (dual of [76, 32, 21]-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 |