Information on Result #618576
Linear OA(4917, 50, F49, 17) (dual of [50, 33, 18]-code or 50-arc in PG(16,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(734, 100, F7, 17) (dual of [100, 66, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(4952, 100, F49, 35) (dual of [100, 48, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4953, 103, F49, 35) (dual of [103, 50, 36]-code) | [i] | ||
| 4 | Linear OA(4952, 103, F49, 34) (dual of [103, 51, 35]-code) | [i] | ||
| 5 | Linear OA(4924, 58, F49, 17) (dual of [58, 34, 18]-code) | [i] | ✔ | Construction X with Cyclic Codes |