Information on Result #618538
Linear OA(4913, 50, F49, 13) (dual of [50, 37, 14]-code or 50-arc in PG(12,49)), using the expurgated narrow-sense BCH-code C(I) with length 50 | 492−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(726, 100, F7, 13) (dual of [100, 74, 14]-code) | [i] | Trace Code | |
| 2 | Linear OA(4940, 100, F49, 27) (dual of [100, 60, 28]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4941, 103, F49, 27) (dual of [103, 62, 28]-code) | [i] | ||
| 4 | Linear OA(4940, 103, F49, 26) (dual of [103, 63, 27]-code) | [i] | ||
| 5 | Linear OA(4918, 56, F49, 13) (dual of [56, 38, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |