Information on Result #613713
Linear OA(561, 3126, F5, 15) (dual of [3126, 3065, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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 OOA(561, 2376, F5, 2, 15) (dual of [(2376, 2), 4691, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(561, 2376, F5, 3, 15) (dual of [(2376, 3), 7067, 16]-NRT-code) | [i] | ||
| 3 | Digital (46, 61, 2376)-net over F5 | [i] | ||
| 4 | Linear OA(568, 3134, F5, 15) (dual of [3134, 3066, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(572, 3137, F5, 17) (dual of [3137, 3065, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(562, 3137, F5, 15) (dual of [3137, 3075, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(588, 3147, F5, 21) (dual of [3147, 3059, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(589, 3150, F5, 21) (dual of [3150, 3061, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(590, 3153, F5, 21) (dual of [3153, 3063, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(591, 3156, F5, 21) (dual of [3156, 3065, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(588, 3152, F5, 20) (dual of [3152, 3064, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(589, 3154, F5, 20) (dual of [3154, 3065, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(585, 3150, F5, 19) (dual of [3150, 3065, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(565, 3150, F5, 15) (dual of [3150, 3085, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(5105, 3170, F5, 23) (dual of [3170, 3065, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(588, 3153, F5, 21) (dual of [3153, 3065, 22]-code) | [i] | ✔ | |