Information on Result #618687
Linear OA(4939, 50, F49, 39) (dual of [50, 11, 40]-code or 50-arc in PG(38,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (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(4953, 65, F49, 39) (dual of [65, 12, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4955, 68, F49, 47) (dual of [68, 13, 48]-code) | [i] | ✔ | Construction XX with Cyclic Codes |