Information on Result #613547
Linear OA(516, 3125, F5, 4) (dual of [3125, 3109, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(522, 3131, F5, 6) (dual of [3131, 3109, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(516, 3130, F5, 4) (dual of [3130, 3114, 5]-code) | [i] | ✔ | |
| 3 | Linear OA(529, 3138, F5, 7) (dual of [3138, 3109, 8]-code) | [i] | ✔ | |
| 4 | Linear OA(517, 3136, F5, 4) (dual of [3136, 3119, 5]-code) | [i] | ✔ | |
| 5 | Linear OA(535, 3144, F5, 8) (dual of [3144, 3109, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(541, 3146, F5, 9) (dual of [3146, 3105, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(528, 3133, F5, 7) (dual of [3133, 3105, 8]-code) | [i] | ✔ | |
| 8 | Linear OA(522, 3132, F5, 6) (dual of [3132, 3110, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(517, 3132, F5, 4) (dual of [3132, 3115, 5]-code) | [i] | ✔ | |
| 10 | Linear OA(517, 3137, F5, 4) (dual of [3137, 3120, 5]-code) | [i] | ✔ | |