Information on Result #613677
Linear OA(551, 3126, F5, 13) (dual of [3126, 3075, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(558, 3136, F5, 13) (dual of [3136, 3078, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(559, 3139, F5, 13) (dual of [3139, 3080, 14]-code) | [i] | ||
| 3 | Linear OA(557, 3133, F5, 13) (dual of [3133, 3076, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(562, 3137, F5, 15) (dual of [3137, 3075, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(552, 3137, F5, 13) (dual of [3137, 3085, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(575, 3150, F5, 17) (dual of [3150, 3075, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(558, 3147, F5, 13) (dual of [3147, 3089, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(559, 3150, F5, 13) (dual of [3150, 3091, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(595, 3170, F5, 21) (dual of [3170, 3075, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(593, 3168, F5, 20) (dual of [3168, 3075, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(558, 3153, F5, 13) (dual of [3153, 3095, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(592, 3159, F5, 21) (dual of [3159, 3067, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(592, 3167, F5, 20) (dual of [3167, 3075, 21]-code) | [i] | ✔ | |