Information on Result #682885
Linear OA(531, 3126, F5, 7) (dual of [3126, 3095, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound)
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(544, 3132, F5, 11) (dual of [3132, 3088, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(545, 3140, F5, 11) (dual of [3140, 3095, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(543, 3132, F5, 10) (dual of [3132, 3089, 11]-code) | [i] | ✔ | |
| 4 | Linear OA(558, 3147, F5, 13) (dual of [3147, 3089, 14]-code) | [i] | ✔ | |
| 5 | Linear OA(559, 3150, F5, 13) (dual of [3150, 3091, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(558, 3153, F5, 13) (dual of [3153, 3095, 14]-code) | [i] | ✔ | |