Information on Result #613754
Linear OA(543, 125, F5, 18) (dual of [125, 82, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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, 128, F5, 18) (dual of [128, 85, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(547, 138, F5, 18) (dual of [138, 91, 19]-code) | [i] | ✔ | |
| 3 | Linear OA(549, 143, F5, 18) (dual of [143, 94, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(550, 146, F5, 18) (dual of [146, 96, 19]-code) | [i] | ✔ | |
| 5 | Linear OA(551, 148, F5, 18) (dual of [148, 97, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(552, 150, F5, 18) (dual of [150, 98, 19]-code) | [i] | ✔ | |