Information on Result #618474
Linear OA(497, 50, F49, 7) (dual of [50, 43, 8]-code or 50-arc in PG(6,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, 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
- Extended Reed–Solomon Code [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
- Algebraic-Geometric Codes Defined Using a Non-Rational Place [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(714, 100, F7, 7) (dual of [100, 86, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(4922, 100, F49, 15) (dual of [100, 78, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4923, 103, F49, 15) (dual of [103, 80, 16]-code) | [i] | ||
| 4 | Linear OA(4936, 2452, F49, 15) (dual of [2452, 2416, 16]-code) | [i] | ||
| 5 | Linear OA(4950, 117700, F49, 15) (dual of [117700, 117650, 16]-code) | [i] | ||
| 6 | Linear OA(4922, 103, F49, 14) (dual of [103, 81, 15]-code) | [i] | ||
| 7 | Linear OA(4934, 2451, F49, 14) (dual of [2451, 2417, 15]-code) | [i] | ||
| 8 | Linear OA(4947, 117699, F49, 14) (dual of [117699, 117652, 15]-code) | [i] | ||
| 9 | Linear OA(4910, 100, F49, 7) (dual of [100, 90, 8]-code) | [i] | ||
| 10 | Linear OA(4936, 2453, F49, 15) (dual of [2453, 2417, 16]-code) | [i] | ||
| 11 | Linear OA(4937, 2457, F49, 15) (dual of [2457, 2420, 16]-code) | [i] | ||
| 12 | Linear OA(4950, 117702, F49, 15) (dual of [117702, 117652, 16]-code) | [i] | ||
| 13 | Linear OA(4951, 117707, F49, 15) (dual of [117707, 117656, 16]-code) | [i] | ||
| 14 | Linear OA(4934, 2453, F49, 14) (dual of [2453, 2419, 15]-code) | [i] | ||
| 15 | Linear OA(4947, 117702, F49, 14) (dual of [117702, 117655, 15]-code) | [i] | ||
| 16 | Linear OA(4948, 117706, F49, 14) (dual of [117706, 117658, 15]-code) | [i] | ||
| 17 | Linear OA(4949, 117710, F49, 14) (dual of [117710, 117661, 15]-code) | [i] | ||
| 18 | Linear OA(4923, 114, F49, 15) (dual of [114, 91, 16]-code) | [i] | ||
| 19 | Linear OA(4922, 114, F49, 14) (dual of [114, 92, 15]-code) | [i] | ||
| 20 | Linear OA(4916, 2450, F49, 7) (dual of [2450, 2434, 8]-code) | [i] | Generalized (u, u+v)-Construction | |
| 21 | Linear OA(4941, 2502, F49, 15) (dual of [2502, 2461, 16]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 22 | Linear OA(4955, 117750, F49, 15) (dual of [117750, 117695, 16]-code) | [i] | ||
| 23 | Linear OA(4938, 2501, F49, 14) (dual of [2501, 2463, 15]-code) | [i] | ||
| 24 | Linear OA(4951, 117749, F49, 14) (dual of [117749, 117698, 15]-code) | [i] | ||
| 25 | Linear OA(499, 53, F49, 7) (dual of [53, 44, 8]-code) | [i] | ✔ | Construction X with Cyclic Codes |