Information on Result #618591
Linear OA(4919, 50, F49, 19) (dual of [50, 31, 20]-code or 50-arc in PG(18,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(738, 100, F7, 19) (dual of [100, 62, 20]-code) | [i] | Trace Code | |
| 2 | Linear OA(4928, 100, F49, 19) (dual of [100, 72, 20]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4928, 60, F49, 19) (dual of [60, 32, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |