Information on Result #613695
Linear OA(534, 125, F5, 14) (dual of [125, 91, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, 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.
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, 129, F5, 16) (dual of [129, 91, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(534, 128, F5, 14) (dual of [128, 94, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(543, 134, F5, 17) (dual of [134, 91, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(535, 132, F5, 14) (dual of [132, 97, 15]-code) | [i] | ✔ | |
| 5 | Linear OA(547, 138, F5, 18) (dual of [138, 91, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(537, 137, F5, 14) (dual of [137, 100, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(540, 143, F5, 14) (dual of [143, 103, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(558, 149, F5, 21) (dual of [149, 91, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(536, 134, F5, 14) (dual of [134, 98, 15]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(539, 140, F5, 14) (dual of [140, 101, 15]-code) | [i] | ✔ | |